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Finding the Fourth Proportional to 12,652.47, 18,983.10 and 5,637.47

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Solution

The fourth proportional to 12,652.47, 18,983.10 and 5,637.47 is: 8,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.47 : 18,983.10 = 5,637.47 : x
  2. Step 2: Convert to fraction form
    12,652.47/18,983.10 = 5,637.47/x
  3. Step 3: Cross multiply
    12,652.47x = 18,983.10 × 5,637.47
  4. Step 4: Simplify right side
    12,652.47x = 107,016,561.84
  5. Step 5: Solve for x
    x = 107,016,561.84/12,652.47
  6. Step 6: Final answer
    x = 8,458.16

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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.