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Finding the Fourth Proportional to 10,525.78, 14,511.61 and 8,726.47

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Solution

The fourth proportional to 10,525.78, 14,511.61 and 8,726.47 is: 12,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.78 : 14,511.61 = 8,726.47 : x
  2. Step 2: Convert to fraction form
    10,525.78/14,511.61 = 8,726.47/x
  3. Step 3: Cross multiply
    10,525.78x = 14,511.61 × 8,726.47
  4. Step 4: Simplify right side
    10,525.78x = 126,635,103.95
  5. Step 5: Solve for x
    x = 126,635,103.95/10,525.78
  6. Step 6: Final answer
    x = 12,030.95

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1.5x scale

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.