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Finding the Fourth Proportional to 8,386, 11,572.68 and 4,660

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Solution

The fourth proportional to 8,386, 11,572.68 and 4,660 is: 6,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386 : 11,572.68 = 4,660 : x
  2. Step 2: Convert to fraction form
    8,386/11,572.68 = 4,660/x
  3. Step 3: Cross multiply
    8,386x = 11,572.68 × 4,660
  4. Step 4: Simplify right side
    8,386x = 53,928,688.80
  5. Step 5: Solve for x
    x = 53,928,688.80/8,386
  6. Step 6: Final answer
    x = 6,430.80

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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.