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Finding the Fourth Proportional to 3,053.46, 4,578.54 and 972.90

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Solution

The fourth proportional to 3,053.46, 4,578.54 and 972.90 is: 1,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.46 : 4,578.54 = 972.90 : x
  2. Step 2: Convert to fraction form
    3,053.46/4,578.54 = 972.90/x
  3. Step 3: Cross multiply
    3,053.46x = 4,578.54 × 972.90
  4. Step 4: Simplify right side
    3,053.46x = 4,454,461.57
  5. Step 5: Solve for x
    x = 4,454,461.57/3,053.46
  6. Step 6: Final answer
    x = 1,458.82

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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.