Home / 1,531.80-2,113.80-942.24

Finding the Fourth Proportional to 1,531.80, 2,113.80 and 942.24

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Solution

The fourth proportional to 1,531.80, 2,113.80 and 942.24 is: 1,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.80 : 2,113.80 = 942.24 : x
  2. Step 2: Convert to fraction form
    1,531.80/2,113.80 = 942.24/x
  3. Step 3: Cross multiply
    1,531.80x = 2,113.80 × 942.24
  4. Step 4: Simplify right side
    1,531.80x = 1,991,706.91
  5. Step 5: Solve for x
    x = 1,991,706.91/1,531.80
  6. Step 6: Final answer
    x = 1,300.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.