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Finding the Fourth Proportional to 11,386, 15,712.68 and 6,418

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Solution

The fourth proportional to 11,386, 15,712.68 and 6,418 is: 8,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386 : 15,712.68 = 6,418 : x
  2. Step 2: Convert to fraction form
    11,386/15,712.68 = 6,418/x
  3. Step 3: Cross multiply
    11,386x = 15,712.68 × 6,418
  4. Step 4: Simplify right side
    11,386x = 100,843,980.24
  5. Step 5: Solve for x
    x = 100,843,980.24/11,386
  6. Step 6: Final answer
    x = 8,856.84

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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.