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Finding the Fourth Proportional to 8,417, 11,615.70 and 4,691.24

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Solution

The fourth proportional to 8,417, 11,615.70 and 4,691.24 is: 6,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417 : 11,615.70 = 4,691.24 : x
  2. Step 2: Convert to fraction form
    8,417/11,615.70 = 4,691.24/x
  3. Step 3: Cross multiply
    8,417x = 11,615.70 × 4,691.24
  4. Step 4: Simplify right side
    8,417x = 54,492,036.47
  5. Step 5: Solve for x
    x = 54,492,036.47/8,417
  6. Step 6: Final answer
    x = 6,474.04

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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.