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Finding the Fourth Proportional to 31,854.32, 47,718.40 and 21,834.40

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Solution

The fourth proportional to 31,854.32, 47,718.40 and 21,834.40 is: 32,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.32 : 47,718.40 = 21,834.40 : x
  2. Step 2: Convert to fraction form
    31,854.32/47,718.40 = 21,834.40/x
  3. Step 3: Cross multiply
    31,854.32x = 47,718.40 × 21,834.40
  4. Step 4: Simplify right side
    31,854.32x = 1,041,902,632.96
  5. Step 5: Solve for x
    x = 1,041,902,632.96/31,854.32
  6. Step 6: Final answer
    x = 32,708.36

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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.