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Finding the Fourth Proportional to 1,577.22, 2,177.24 and 987.63

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Solution

The fourth proportional to 1,577.22, 2,177.24 and 987.63 is: 1,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.22 : 2,177.24 = 987.63 : x
  2. Step 2: Convert to fraction form
    1,577.22/2,177.24 = 987.63/x
  3. Step 3: Cross multiply
    1,577.22x = 2,177.24 × 987.63
  4. Step 4: Simplify right side
    1,577.22x = 2,150,302.60
  5. Step 5: Solve for x
    x = 2,150,302.60/1,577.22
  6. Step 6: Final answer
    x = 1,363.35

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1.5x scale

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.