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Finding the Fourth Proportional to 2,921.15, 4,380.09 and 972.29

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Solution

The fourth proportional to 2,921.15, 4,380.09 and 972.29 is: 1,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.15 : 4,380.09 = 972.29 : x
  2. Step 2: Convert to fraction form
    2,921.15/4,380.09 = 972.29/x
  3. Step 3: Cross multiply
    2,921.15x = 4,380.09 × 972.29
  4. Step 4: Simplify right side
    2,921.15x = 4,258,717.71
  5. Step 5: Solve for x
    x = 4,258,717.71/2,921.15
  6. Step 6: Final answer
    x = 1,457.89

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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.