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Finding the Fourth Proportional to 31,642.40, 47,366.40 and 22,894.40

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Solution

The fourth proportional to 31,642.40, 47,366.40 and 22,894.40 is: 34,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.40 : 47,366.40 = 22,894.40 : x
  2. Step 2: Convert to fraction form
    31,642.40/47,366.40 = 22,894.40/x
  3. Step 3: Cross multiply
    31,642.40x = 47,366.40 × 22,894.40
  4. Step 4: Simplify right side
    31,642.40x = 1,084,425,308.16
  5. Step 5: Solve for x
    x = 1,084,425,308.16/31,642.40
  6. Step 6: Final answer
    x = 34,271.27

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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.