Home / 1,531.68-2,111.76-1,159.20

Finding the Fourth Proportional to 1,531.68, 2,111.76 and 1,159.20

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Solution

The fourth proportional to 1,531.68, 2,111.76 and 1,159.20 is: 1,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.68 : 2,111.76 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    1,531.68/2,111.76 = 1,159.20/x
  3. Step 3: Cross multiply
    1,531.68x = 2,111.76 × 1,159.20
  4. Step 4: Simplify right side
    1,531.68x = 2,447,952.19
  5. Step 5: Solve for x
    x = 2,447,952.19/1,531.68
  6. Step 6: Final answer
    x = 1,598.21

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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.