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Finding the Fourth Proportional to 12,304.78, 16,981.15 and 6,929.07

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Solution

The fourth proportional to 12,304.78, 16,981.15 and 6,929.07 is: 9,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.78 : 16,981.15 = 6,929.07 : x
  2. Step 2: Convert to fraction form
    12,304.78/16,981.15 = 6,929.07/x
  3. Step 3: Cross multiply
    12,304.78x = 16,981.15 × 6,929.07
  4. Step 4: Simplify right side
    12,304.78x = 117,663,559.71
  5. Step 5: Solve for x
    x = 117,663,559.71/12,304.78
  6. Step 6: Final answer
    x = 9,562.43

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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.