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Finding the Fourth Proportional to 3,360, 5,037.12 and 1,715.52

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Solution

The fourth proportional to 3,360, 5,037.12 and 1,715.52 is: 2,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,360 : 5,037.12 = 1,715.52 : x
  2. Step 2: Convert to fraction form
    3,360/5,037.12 = 1,715.52/x
  3. Step 3: Cross multiply
    3,360x = 5,037.12 × 1,715.52
  4. Step 4: Simplify right side
    3,360x = 8,641,280.10
  5. Step 5: Solve for x
    x = 8,641,280.10/3,360
  6. Step 6: Final answer
    x = 2,571.81

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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.