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Finding the Fourth Proportional to 12,275.52, 18,416.16 and 4,488

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Solution

The fourth proportional to 12,275.52, 18,416.16 and 4,488 is: 6,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.52 : 18,416.16 = 4,488 : x
  2. Step 2: Convert to fraction form
    12,275.52/18,416.16 = 4,488/x
  3. Step 3: Cross multiply
    12,275.52x = 18,416.16 × 4,488
  4. Step 4: Simplify right side
    12,275.52x = 82,651,726.08
  5. Step 5: Solve for x
    x = 82,651,726.08/12,275.52
  6. Step 6: Final answer
    x = 6,733.05

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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.