Home / 1,532.26-2,114.45-869.10

Finding the Fourth Proportional to 1,532.26, 2,114.45 and 869.10

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Solution

The fourth proportional to 1,532.26, 2,114.45 and 869.10 is: 1,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.26 : 2,114.45 = 869.10 : x
  2. Step 2: Convert to fraction form
    1,532.26/2,114.45 = 869.10/x
  3. Step 3: Cross multiply
    1,532.26x = 2,114.45 × 869.10
  4. Step 4: Simplify right side
    1,532.26x = 1,837,664.37
  5. Step 5: Solve for x
    x = 1,837,664.37/1,532.26
  6. Step 6: Final answer
    x = 1,199.32

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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.