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Finding the Fourth Proportional to 10,510.81, 15,774.04 and 4,965.86

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Solution

The fourth proportional to 10,510.81, 15,774.04 and 4,965.86 is: 7,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.81 : 15,774.04 = 4,965.86 : x
  2. Step 2: Convert to fraction form
    10,510.81/15,774.04 = 4,965.86/x
  3. Step 3: Cross multiply
    10,510.81x = 15,774.04 × 4,965.86
  4. Step 4: Simplify right side
    10,510.81x = 78,331,631.19
  5. Step 5: Solve for x
    x = 78,331,631.19/10,510.81
  6. Step 6: Final answer
    x = 7,452.48

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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.