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Finding the Fourth Proportional to 10,655.87, 15,994.13 and 5,113.04

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Solution

The fourth proportional to 10,655.87, 15,994.13 and 5,113.04 is: 7,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.87 : 15,994.13 = 5,113.04 : x
  2. Step 2: Convert to fraction form
    10,655.87/15,994.13 = 5,113.04/x
  3. Step 3: Cross multiply
    10,655.87x = 15,994.13 × 5,113.04
  4. Step 4: Simplify right side
    10,655.87x = 81,778,520.92
  5. Step 5: Solve for x
    x = 81,778,520.92/10,655.87
  6. Step 6: Final answer
    x = 7,674.51

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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.