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Finding the Fourth Proportional to 8,488, 11,713.96 and 4,762.24

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Solution

The fourth proportional to 8,488, 11,713.96 and 4,762.24 is: 6,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488 : 11,713.96 = 4,762.24 : x
  2. Step 2: Convert to fraction form
    8,488/11,713.96 = 4,762.24/x
  3. Step 3: Cross multiply
    8,488x = 11,713.96 × 4,762.24
  4. Step 4: Simplify right side
    8,488x = 55,784,688.87
  5. Step 5: Solve for x
    x = 55,784,688.87/8,488
  6. Step 6: Final answer
    x = 6,572.18

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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.