Home / 1,686.32-2,531-1,071.14

Finding the Fourth Proportional to 1,686.32, 2,531 and 1,071.14

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Solution

The fourth proportional to 1,686.32, 2,531 and 1,071.14 is: 1,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.32 : 2,531 = 1,071.14 : x
  2. Step 2: Convert to fraction form
    1,686.32/2,531 = 1,071.14/x
  3. Step 3: Cross multiply
    1,686.32x = 2,531 × 1,071.14
  4. Step 4: Simplify right side
    1,686.32x = 2,711,055.34
  5. Step 5: Solve for x
    x = 2,711,055.34/1,686.32
  6. Step 6: Final answer
    x = 1,607.68

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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.