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Finding the Fourth Proportional to 8,859.60, 12,224.04 and 5,712

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Solution

The fourth proportional to 8,859.60, 12,224.04 and 5,712 is: 7,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,859.60 : 12,224.04 = 5,712 : x
  2. Step 2: Convert to fraction form
    8,859.60/12,224.04 = 5,712/x
  3. Step 3: Cross multiply
    8,859.60x = 12,224.04 × 5,712
  4. Step 4: Simplify right side
    8,859.60x = 69,823,716.48
  5. Step 5: Solve for x
    x = 69,823,716.48/8,859.60
  6. Step 6: Final answer
    x = 7,881.14

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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.