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Finding the Fourth Proportional to 2,509.52, 3,761.60 and 948.80

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Solution

The fourth proportional to 2,509.52, 3,761.60 and 948.80 is: 1,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.52 : 3,761.60 = 948.80 : x
  2. Step 2: Convert to fraction form
    2,509.52/3,761.60 = 948.80/x
  3. Step 3: Cross multiply
    2,509.52x = 3,761.60 × 948.80
  4. Step 4: Simplify right side
    2,509.52x = 3,569,006.08
  5. Step 5: Solve for x
    x = 3,569,006.08/2,509.52
  6. Step 6: Final answer
    x = 1,422.19

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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.