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Finding the Fourth Proportional to 1,531.68, 2,112.84 and 971.20

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Solution

The fourth proportional to 1,531.68, 2,112.84 and 971.20 is: 1,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.68 : 2,112.84 = 971.20 : x
  2. Step 2: Convert to fraction form
    1,531.68/2,112.84 = 971.20/x
  3. Step 3: Cross multiply
    1,531.68x = 2,112.84 × 971.20
  4. Step 4: Simplify right side
    1,531.68x = 2,051,990.21
  5. Step 5: Solve for x
    x = 2,051,990.21/1,531.68
  6. Step 6: Final answer
    x = 1,339.70

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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.