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Finding the Fourth Proportional to 31,076.30, 42,885.08 and 16,929.15

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Solution

The fourth proportional to 31,076.30, 42,885.08 and 16,929.15 is: 23,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.30 : 42,885.08 = 16,929.15 : x
  2. Step 2: Convert to fraction form
    31,076.30/42,885.08 = 16,929.15/x
  3. Step 3: Cross multiply
    31,076.30x = 42,885.08 × 16,929.15
  4. Step 4: Simplify right side
    31,076.30x = 726,007,952.08
  5. Step 5: Solve for x
    x = 726,007,952.08/31,076.30
  6. Step 6: Final answer
    x = 23,362.11

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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.