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Finding the Fourth Proportional to 31,628, 47,442.08 and 10,853.12

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Solution

The fourth proportional to 31,628, 47,442.08 and 10,853.12 is: 16,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,628 : 47,442.08 = 10,853.12 : x
  2. Step 2: Convert to fraction form
    31,628/47,442.08 = 10,853.12/x
  3. Step 3: Cross multiply
    31,628x = 47,442.08 × 10,853.12
  4. Step 4: Simplify right side
    31,628x = 514,894,587.29
  5. Step 5: Solve for x
    x = 514,894,587.29/31,628
  6. Step 6: Final answer
    x = 16,279.71

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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.