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Finding the Fourth Proportional to 7,830.87, 10,807.28 and 4,294.77

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Solution

The fourth proportional to 7,830.87, 10,807.28 and 4,294.77 is: 5,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.87 : 10,807.28 = 4,294.77 : x
  2. Step 2: Convert to fraction form
    7,830.87/10,807.28 = 4,294.77/x
  3. Step 3: Cross multiply
    7,830.87x = 10,807.28 × 4,294.77
  4. Step 4: Simplify right side
    7,830.87x = 46,414,781.93
  5. Step 5: Solve for x
    x = 46,414,781.93/7,830.87
  6. Step 6: Final answer
    x = 5,927.16

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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.