Home / 1,565.38-2,159.17-1,004.96

Finding the Fourth Proportional to 1,565.38, 2,159.17 and 1,004.96

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Solution

The fourth proportional to 1,565.38, 2,159.17 and 1,004.96 is: 1,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.38 : 2,159.17 = 1,004.96 : x
  2. Step 2: Convert to fraction form
    1,565.38/2,159.17 = 1,004.96/x
  3. Step 3: Cross multiply
    1,565.38x = 2,159.17 × 1,004.96
  4. Step 4: Simplify right side
    1,565.38x = 2,169,875.88
  5. Step 5: Solve for x
    x = 2,169,875.88/1,565.38
  6. Step 6: Final answer
    x = 1,386.17

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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.