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Finding the Fourth Proportional to 7,830.96, 10,806.24 and 4,294.12

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Solution

The fourth proportional to 7,830.96, 10,806.24 and 4,294.12 is: 5,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.96 : 10,806.24 = 4,294.12 : x
  2. Step 2: Convert to fraction form
    7,830.96/10,806.24 = 4,294.12/x
  3. Step 3: Cross multiply
    7,830.96x = 10,806.24 × 4,294.12
  4. Step 4: Simplify right side
    7,830.96x = 46,403,291.31
  5. Step 5: Solve for x
    x = 46,403,291.31/7,830.96
  6. Step 6: Final answer
    x = 5,925.62

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.