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Finding the Fourth Proportional to 8,478.36, 11,707.74 and 5,499

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Solution

The fourth proportional to 8,478.36, 11,707.74 and 5,499 is: 7,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.36 : 11,707.74 = 5,499 : x
  2. Step 2: Convert to fraction form
    8,478.36/11,707.74 = 5,499/x
  3. Step 3: Cross multiply
    8,478.36x = 11,707.74 × 5,499
  4. Step 4: Simplify right side
    8,478.36x = 64,380,862.26
  5. Step 5: Solve for x
    x = 64,380,862.26/8,478.36
  6. Step 6: Final answer
    x = 7,593.55

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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.