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Finding the Fourth Proportional to 27,730.80, 41,572.80 and 12,931.92

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Solution

The fourth proportional to 27,730.80, 41,572.80 and 12,931.92 is: 19,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.80 : 41,572.80 = 12,931.92 : x
  2. Step 2: Convert to fraction form
    27,730.80/41,572.80 = 12,931.92/x
  3. Step 3: Cross multiply
    27,730.80x = 41,572.80 × 12,931.92
  4. Step 4: Simplify right side
    27,730.80x = 537,616,123.78
  5. Step 5: Solve for x
    x = 537,616,123.78/27,730.80
  6. Step 6: Final answer
    x = 19,386.97

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1.5x scale

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.