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Finding the Fourth Proportional to 31,191.80, 46,714.80 and 30,565.40

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Solution

The fourth proportional to 31,191.80, 46,714.80 and 30,565.40 is: 45,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.80 : 46,714.80 = 30,565.40 : x
  2. Step 2: Convert to fraction form
    31,191.80/46,714.80 = 30,565.40/x
  3. Step 3: Cross multiply
    31,191.80x = 46,714.80 × 30,565.40
  4. Step 4: Simplify right side
    31,191.80x = 1,427,856,547.92
  5. Step 5: Solve for x
    x = 1,427,856,547.92/31,191.80
  6. Step 6: Final answer
    x = 45,776.66

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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.