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Finding the Fourth Proportional to 10,708.57, 14,775.78 and 6,931.21

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Solution

The fourth proportional to 10,708.57, 14,775.78 and 6,931.21 is: 9,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.57 : 14,775.78 = 6,931.21 : x
  2. Step 2: Convert to fraction form
    10,708.57/14,775.78 = 6,931.21/x
  3. Step 3: Cross multiply
    10,708.57x = 14,775.78 × 6,931.21
  4. Step 4: Simplify right side
    10,708.57x = 102,414,026.57
  5. Step 5: Solve for x
    x = 102,414,026.57/10,708.57
  6. Step 6: Final answer
    x = 9,563.74

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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.