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Finding the Fourth Proportional to 12,582.17, 17,365.08 and 8,118.91

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Solution

The fourth proportional to 12,582.17, 17,365.08 and 8,118.91 is: 11,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.17 : 17,365.08 = 8,118.91 : x
  2. Step 2: Convert to fraction form
    12,582.17/17,365.08 = 8,118.91/x
  3. Step 3: Cross multiply
    12,582.17x = 17,365.08 × 8,118.91
  4. Step 4: Simplify right side
    12,582.17x = 140,985,476.14
  5. Step 5: Solve for x
    x = 140,985,476.14/12,582.17
  6. Step 6: Final answer
    x = 11,205.18

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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.