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Finding the Fourth Proportional to 35,687.54, 53,475.71 and 13,488.80

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Solution

The fourth proportional to 35,687.54, 53,475.71 and 13,488.80 is: 20,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.54 : 53,475.71 = 13,488.80 : x
  2. Step 2: Convert to fraction form
    35,687.54/53,475.71 = 13,488.80/x
  3. Step 3: Cross multiply
    35,687.54x = 53,475.71 × 13,488.80
  4. Step 4: Simplify right side
    35,687.54x = 721,322,822.23
  5. Step 5: Solve for x
    x = 721,322,822.23/35,687.54
  6. Step 6: Final answer
    x = 20,212.18

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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.