Home / 1,565.98-2,159.78-1,006.49

Finding the Fourth Proportional to 1,565.98, 2,159.78 and 1,006.49

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Solution

The fourth proportional to 1,565.98, 2,159.78 and 1,006.49 is: 1,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.98 : 2,159.78 = 1,006.49 : x
  2. Step 2: Convert to fraction form
    1,565.98/2,159.78 = 1,006.49/x
  3. Step 3: Cross multiply
    1,565.98x = 2,159.78 × 1,006.49
  4. Step 4: Simplify right side
    1,565.98x = 2,173,797.34
  5. Step 5: Solve for x
    x = 2,173,797.34/1,565.98
  6. Step 6: Final answer
    x = 1,388.14

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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.