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Finding the Fourth Proportional to 10,711.71, 14,768.38 and 6,928.20

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Solution

The fourth proportional to 10,711.71, 14,768.38 and 6,928.20 is: 9,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.71 : 14,768.38 = 6,928.20 : x
  2. Step 2: Convert to fraction form
    10,711.71/14,768.38 = 6,928.20/x
  3. Step 3: Cross multiply
    10,711.71x = 14,768.38 × 6,928.20
  4. Step 4: Simplify right side
    10,711.71x = 102,318,181.83
  5. Step 5: Solve for x
    x = 102,318,181.83/10,711.71
  6. Step 6: Final answer
    x = 9,552.00

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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.