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Finding the Fourth Proportional to 38,007.80, 56,946.90 and 31,398.20

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Solution

The fourth proportional to 38,007.80, 56,946.90 and 31,398.20 is: 47,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007.80 : 56,946.90 = 31,398.20 : x
  2. Step 2: Convert to fraction form
    38,007.80/56,946.90 = 31,398.20/x
  3. Step 3: Cross multiply
    38,007.80x = 56,946.90 × 31,398.20
  4. Step 4: Simplify right side
    38,007.80x = 1,788,030,155.58
  5. Step 5: Solve for x
    x = 1,788,030,155.58/38,007.80
  6. Step 6: Final answer
    x = 47,043.77

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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.