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Finding the Fourth Proportional to 9,966.78, 14,948.46 and 3,393

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Solution

The fourth proportional to 9,966.78, 14,948.46 and 3,393 is: 5,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.78 : 14,948.46 = 3,393 : x
  2. Step 2: Convert to fraction form
    9,966.78/14,948.46 = 3,393/x
  3. Step 3: Cross multiply
    9,966.78x = 14,948.46 × 3,393
  4. Step 4: Simplify right side
    9,966.78x = 50,720,124.78
  5. Step 5: Solve for x
    x = 50,720,124.78/9,966.78
  6. Step 6: Final answer
    x = 5,088.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.