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Finding the Fourth Proportional to 8,117.76, 12,168 and 5,802.24

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Solution

The fourth proportional to 8,117.76, 12,168 and 5,802.24 is: 8,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.76 : 12,168 = 5,802.24 : x
  2. Step 2: Convert to fraction form
    8,117.76/12,168 = 5,802.24/x
  3. Step 3: Cross multiply
    8,117.76x = 12,168 × 5,802.24
  4. Step 4: Simplify right side
    8,117.76x = 70,601,656.32
  5. Step 5: Solve for x
    x = 70,601,656.32/8,117.76
  6. Step 6: Final answer
    x = 8,697.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.