Home / 1,532.40-2,283.96-1,530

Finding the Fourth Proportional to 1,532.40, 2,283.96 and 1,530

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Solution

The fourth proportional to 1,532.40, 2,283.96 and 1,530 is: 2,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.40 : 2,283.96 = 1,530 : x
  2. Step 2: Convert to fraction form
    1,532.40/2,283.96 = 1,530/x
  3. Step 3: Cross multiply
    1,532.40x = 2,283.96 × 1,530
  4. Step 4: Simplify right side
    1,532.40x = 3,494,458.80
  5. Step 5: Solve for x
    x = 3,494,458.80/1,532.40
  6. Step 6: Final answer
    x = 2,280.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.