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Finding the Fourth Proportional to 1,532.02, 2,114.32 and 869

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Solution

The fourth proportional to 1,532.02, 2,114.32 and 869 is: 1,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.02 : 2,114.32 = 869 : x
  2. Step 2: Convert to fraction form
    1,532.02/2,114.32 = 869/x
  3. Step 3: Cross multiply
    1,532.02x = 2,114.32 × 869
  4. Step 4: Simplify right side
    1,532.02x = 1,837,344.08
  5. Step 5: Solve for x
    x = 1,837,344.08/1,532.02
  6. Step 6: Final answer
    x = 1,199.30

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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.