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Finding the Fourth Proportional to 28,275.92, 42,407.40 and 12,698

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Solution

The fourth proportional to 28,275.92, 42,407.40 and 12,698 is: 19,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,275.92 : 42,407.40 = 12,698 : x
  2. Step 2: Convert to fraction form
    28,275.92/42,407.40 = 12,698/x
  3. Step 3: Cross multiply
    28,275.92x = 42,407.40 × 12,698
  4. Step 4: Simplify right side
    28,275.92x = 538,489,165.20
  5. Step 5: Solve for x
    x = 538,489,165.20/28,275.92
  6. Step 6: Final answer
    x = 19,044.09

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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.