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Finding the Fourth Proportional to 31,802.52, 43,907.64 and 20,476.20

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Solution

The fourth proportional to 31,802.52, 43,907.64 and 20,476.20 is: 28,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.52 : 43,907.64 = 20,476.20 : x
  2. Step 2: Convert to fraction form
    31,802.52/43,907.64 = 20,476.20/x
  3. Step 3: Cross multiply
    31,802.52x = 43,907.64 × 20,476.20
  4. Step 4: Simplify right side
    31,802.52x = 899,061,618.17
  5. Step 5: Solve for x
    x = 899,061,618.17/31,802.52
  6. Step 6: Final answer
    x = 28,270.14

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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.