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Finding the Fourth Proportional to 1,537.59, 2,121.36 and 874.20

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Solution

The fourth proportional to 1,537.59, 2,121.36 and 874.20 is: 1,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.59 : 2,121.36 = 874.20 : x
  2. Step 2: Convert to fraction form
    1,537.59/2,121.36 = 874.20/x
  3. Step 3: Cross multiply
    1,537.59x = 2,121.36 × 874.20
  4. Step 4: Simplify right side
    1,537.59x = 1,854,492.91
  5. Step 5: Solve for x
    x = 1,854,492.91/1,537.59
  6. Step 6: Final answer
    x = 1,206.10

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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.