Home / 1,565.40-2,161.44-1,417.44

Finding the Fourth Proportional to 1,565.40, 2,161.44 and 1,417.44

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Solution

The fourth proportional to 1,565.40, 2,161.44 and 1,417.44 is: 1,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.40 : 2,161.44 = 1,417.44 : x
  2. Step 2: Convert to fraction form
    1,565.40/2,161.44 = 1,417.44/x
  3. Step 3: Cross multiply
    1,565.40x = 2,161.44 × 1,417.44
  4. Step 4: Simplify right side
    1,565.40x = 3,063,711.51
  5. Step 5: Solve for x
    x = 3,063,711.51/1,565.40
  6. Step 6: Final answer
    x = 1,957.14

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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.