Home / 1,532.26-2,114.40-869.00

Finding the Fourth Proportional to 1,532.26, 2,114.40 and 869.00

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Solution

The fourth proportional to 1,532.26, 2,114.40 and 869.00 is: 1,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.26 : 2,114.40 = 869.00 : x
  2. Step 2: Convert to fraction form
    1,532.26/2,114.40 = 869.00/x
  3. Step 3: Cross multiply
    1,532.26x = 2,114.40 × 869.00
  4. Step 4: Simplify right side
    1,532.26x = 1,837,398.68
  5. Step 5: Solve for x
    x = 1,837,398.68/1,532.26
  6. Step 6: Final answer
    x = 1,199.15

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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.