Home / 1,532.40-2,112.93-972.15

Finding the Fourth Proportional to 1,532.40, 2,112.93 and 972.15

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Solution

The fourth proportional to 1,532.40, 2,112.93 and 972.15 is: 1,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.40 : 2,112.93 = 972.15 : x
  2. Step 2: Convert to fraction form
    1,532.40/2,112.93 = 972.15/x
  3. Step 3: Cross multiply
    1,532.40x = 2,112.93 × 972.15
  4. Step 4: Simplify right side
    1,532.40x = 2,054,084.90
  5. Step 5: Solve for x
    x = 2,054,084.90/1,532.40
  6. Step 6: Final answer
    x = 1,340.44

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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.