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Finding the Fourth Proportional to 30,443.25, 45,646.65 and 12,652.47

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Solution

The fourth proportional to 30,443.25, 45,646.65 and 12,652.47 is: 18,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.25 : 45,646.65 = 12,652.47 : x
  2. Step 2: Convert to fraction form
    30,443.25/45,646.65 = 12,652.47/x
  3. Step 3: Cross multiply
    30,443.25x = 45,646.65 × 12,652.47
  4. Step 4: Simplify right side
    30,443.25x = 577,542,869.73
  5. Step 5: Solve for x
    x = 577,542,869.73/30,443.25
  6. Step 6: Final answer
    x = 18,971.13

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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.