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Finding the Fourth Proportional to 7,113.69, 10,665.95 and 2,956.55

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Solution

The fourth proportional to 7,113.69, 10,665.95 and 2,956.55 is: 4,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.69 : 10,665.95 = 2,956.55 : x
  2. Step 2: Convert to fraction form
    7,113.69/10,665.95 = 2,956.55/x
  3. Step 3: Cross multiply
    7,113.69x = 10,665.95 × 2,956.55
  4. Step 4: Simplify right side
    7,113.69x = 31,534,346.36
  5. Step 5: Solve for x
    x = 31,534,346.36/7,113.69
  6. Step 6: Final answer
    x = 4,432.91

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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.