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Finding the Fourth Proportional to 11,511.47, 15,885.74 and 6,543.47

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Solution

The fourth proportional to 11,511.47, 15,885.74 and 6,543.47 is: 9,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.47 : 15,885.74 = 6,543.47 : x
  2. Step 2: Convert to fraction form
    11,511.47/15,885.74 = 6,543.47/x
  3. Step 3: Cross multiply
    11,511.47x = 15,885.74 × 6,543.47
  4. Step 4: Simplify right side
    11,511.47x = 103,947,750.97
  5. Step 5: Solve for x
    x = 103,947,750.97/11,511.47
  6. Step 6: Final answer
    x = 9,029.93

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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.