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Finding the Fourth Proportional to 30,397.78, 45,565.08 and 12,638.08

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Solution

The fourth proportional to 30,397.78, 45,565.08 and 12,638.08 is: 18,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.78 : 45,565.08 = 12,638.08 : x
  2. Step 2: Convert to fraction form
    30,397.78/45,565.08 = 12,638.08/x
  3. Step 3: Cross multiply
    30,397.78x = 45,565.08 × 12,638.08
  4. Step 4: Simplify right side
    30,397.78x = 575,855,126.25
  5. Step 5: Solve for x
    x = 575,855,126.25/30,397.78
  6. Step 6: Final answer
    x = 18,943.99

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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.