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Finding the Fourth Proportional to 11,451.68, 15,802.08 and 8,469.20

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Solution

The fourth proportional to 11,451.68, 15,802.08 and 8,469.20 is: 11,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.68 : 15,802.08 = 8,469.20 : x
  2. Step 2: Convert to fraction form
    11,451.68/15,802.08 = 8,469.20/x
  3. Step 3: Cross multiply
    11,451.68x = 15,802.08 × 8,469.20
  4. Step 4: Simplify right side
    11,451.68x = 133,830,975.94
  5. Step 5: Solve for x
    x = 133,830,975.94/11,451.68
  6. Step 6: Final answer
    x = 11,686.58

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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.