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Finding the Fourth Proportional to 10,605.08, 15,888 and 5,333.92

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Solution

The fourth proportional to 10,605.08, 15,888 and 5,333.92 is: 7,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.08 : 15,888 = 5,333.92 : x
  2. Step 2: Convert to fraction form
    10,605.08/15,888 = 5,333.92/x
  3. Step 3: Cross multiply
    10,605.08x = 15,888 × 5,333.92
  4. Step 4: Simplify right side
    10,605.08x = 84,745,320.96
  5. Step 5: Solve for x
    x = 84,745,320.96/10,605.08
  6. Step 6: Final answer
    x = 7,991.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.