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Finding the Fourth Proportional to 11,354.54, 15,664.91 and 8,377.47

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Solution

The fourth proportional to 11,354.54, 15,664.91 and 8,377.47 is: 11,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.54 : 15,664.91 = 8,377.47 : x
  2. Step 2: Convert to fraction form
    11,354.54/15,664.91 = 8,377.47/x
  3. Step 3: Cross multiply
    11,354.54x = 15,664.91 × 8,377.47
  4. Step 4: Simplify right side
    11,354.54x = 131,232,271.69
  5. Step 5: Solve for x
    x = 131,232,271.69/11,354.54
  6. Step 6: Final answer
    x = 11,557.70

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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.