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Finding the Fourth Proportional to 10,282.10, 15,401.55 and 5,659.70

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Solution

The fourth proportional to 10,282.10, 15,401.55 and 5,659.70 is: 8,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.10 : 15,401.55 = 5,659.70 : x
  2. Step 2: Convert to fraction form
    10,282.10/15,401.55 = 5,659.70/x
  3. Step 3: Cross multiply
    10,282.10x = 15,401.55 × 5,659.70
  4. Step 4: Simplify right side
    10,282.10x = 87,168,152.54
  5. Step 5: Solve for x
    x = 87,168,152.54/10,282.10
  6. Step 6: Final answer
    x = 8,477.66

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