Home / 2,068.40-3,102.06-972.20

Finding the Fourth Proportional to 2,068.40, 3,102.06 and 972.20

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Solution

The fourth proportional to 2,068.40, 3,102.06 and 972.20 is: 1,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.40 : 3,102.06 = 972.20 : x
  2. Step 2: Convert to fraction form
    2,068.40/3,102.06 = 972.20/x
  3. Step 3: Cross multiply
    2,068.40x = 3,102.06 × 972.20
  4. Step 4: Simplify right side
    2,068.40x = 3,015,822.73
  5. Step 5: Solve for x
    x = 3,015,822.73/2,068.40
  6. Step 6: Final answer
    x = 1,458.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.