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Finding the Fourth Proportional to 10,618, 14,651.52 and 5,901.68

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Solution

The fourth proportional to 10,618, 14,651.52 and 5,901.68 is: 8,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618 : 14,651.52 = 5,901.68 : x
  2. Step 2: Convert to fraction form
    10,618/14,651.52 = 5,901.68/x
  3. Step 3: Cross multiply
    10,618x = 14,651.52 × 5,901.68
  4. Step 4: Simplify right side
    10,618x = 86,468,582.55
  5. Step 5: Solve for x
    x = 86,468,582.55/10,618
  6. Step 6: Final answer
    x = 8,143.58

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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.