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Finding the Fourth Proportional to 3,509.70, 5,265.92 and 1,560.57

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Solution

The fourth proportional to 3,509.70, 5,265.92 and 1,560.57 is: 2,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.70 : 5,265.92 = 1,560.57 : x
  2. Step 2: Convert to fraction form
    3,509.70/5,265.92 = 1,560.57/x
  3. Step 3: Cross multiply
    3,509.70x = 5,265.92 × 1,560.57
  4. Step 4: Simplify right side
    3,509.70x = 8,217,836.77
  5. Step 5: Solve for x
    x = 8,217,836.77/3,509.70
  6. Step 6: Final answer
    x = 2,341.46

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1.5x scale

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.