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Finding the Fourth Proportional to 7,830.79, 10,806.61 and 4,293.79

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Solution

The fourth proportional to 7,830.79, 10,806.61 and 4,293.79 is: 5,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.79 : 10,806.61 = 4,293.79 : x
  2. Step 2: Convert to fraction form
    7,830.79/10,806.61 = 4,293.79/x
  3. Step 3: Cross multiply
    7,830.79x = 10,806.61 × 4,293.79
  4. Step 4: Simplify right side
    7,830.79x = 46,401,313.95
  5. Step 5: Solve for x
    x = 46,401,313.95/7,830.79
  6. Step 6: Final answer
    x = 5,925.50

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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.