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Finding the Fourth Proportional to 11,497.10, 15,867.54 and 8,320.91

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Solution

The fourth proportional to 11,497.10, 15,867.54 and 8,320.91 is: 11,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.10 : 15,867.54 = 8,320.91 : x
  2. Step 2: Convert to fraction form
    11,497.10/15,867.54 = 8,320.91/x
  3. Step 3: Cross multiply
    11,497.10x = 15,867.54 × 8,320.91
  4. Step 4: Simplify right side
    11,497.10x = 132,032,292.92
  5. Step 5: Solve for x
    x = 132,032,292.92/11,497.10
  6. Step 6: Final answer
    x = 11,483.97

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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.