Home / 1,577.50-2,365.80-1,057.18

Finding the Fourth Proportional to 1,577.50, 2,365.80 and 1,057.18

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Solution

The fourth proportional to 1,577.50, 2,365.80 and 1,057.18 is: 1,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.50 : 2,365.80 = 1,057.18 : x
  2. Step 2: Convert to fraction form
    1,577.50/2,365.80 = 1,057.18/x
  3. Step 3: Cross multiply
    1,577.50x = 2,365.80 × 1,057.18
  4. Step 4: Simplify right side
    1,577.50x = 2,501,076.44
  5. Step 5: Solve for x
    x = 2,501,076.44/1,577.50
  6. Step 6: Final answer
    x = 1,585.47

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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.