Home / 1,532.47-2,114.82-869.33

Finding the Fourth Proportional to 1,532.47, 2,114.82 and 869.33

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Solution

The fourth proportional to 1,532.47, 2,114.82 and 869.33 is: 1,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.47 : 2,114.82 = 869.33 : x
  2. Step 2: Convert to fraction form
    1,532.47/2,114.82 = 869.33/x
  3. Step 3: Cross multiply
    1,532.47x = 2,114.82 × 869.33
  4. Step 4: Simplify right side
    1,532.47x = 1,838,465.90
  5. Step 5: Solve for x
    x = 1,838,465.90/1,532.47
  6. Step 6: Final answer
    x = 1,199.68

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1.5x scale

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.