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Finding the Fourth Proportional to 39,286, 54,214.68 and 22,528.72

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Solution

The fourth proportional to 39,286, 54,214.68 and 22,528.72 is: 31,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,286 : 54,214.68 = 22,528.72 : x
  2. Step 2: Convert to fraction form
    39,286/54,214.68 = 22,528.72/x
  3. Step 3: Cross multiply
    39,286x = 54,214.68 × 22,528.72
  4. Step 4: Simplify right side
    39,286x = 1,221,387,345.61
  5. Step 5: Solve for x
    x = 1,221,387,345.61/39,286
  6. Step 6: Final answer
    x = 31,089.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.