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Finding the Fourth Proportional to 10,966.64, 15,133.05 and 6,489.61

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Solution

The fourth proportional to 10,966.64, 15,133.05 and 6,489.61 is: 8,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.64 : 15,133.05 = 6,489.61 : x
  2. Step 2: Convert to fraction form
    10,966.64/15,133.05 = 6,489.61/x
  3. Step 3: Cross multiply
    10,966.64x = 15,133.05 × 6,489.61
  4. Step 4: Simplify right side
    10,966.64x = 98,207,554.78
  5. Step 5: Solve for x
    x = 98,207,554.78/10,966.64
  6. Step 6: Final answer
    x = 8,955.12

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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.