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Finding the Fourth Proportional to 12,637.61, 17,448 and 11,309

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Solution

The fourth proportional to 12,637.61, 17,448 and 11,309 is: 15,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.61 : 17,448 = 11,309 : x
  2. Step 2: Convert to fraction form
    12,637.61/17,448 = 11,309/x
  3. Step 3: Cross multiply
    12,637.61x = 17,448 × 11,309
  4. Step 4: Simplify right side
    12,637.61x = 197,319,432
  5. Step 5: Solve for x
    x = 197,319,432/12,637.61
  6. Step 6: Final answer
    x = 15,613.67

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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.