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Finding the Fourth Proportional to 2,617.01, 3,925.36 and 972.81

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Solution

The fourth proportional to 2,617.01, 3,925.36 and 972.81 is: 1,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.01 : 3,925.36 = 972.81 : x
  2. Step 2: Convert to fraction form
    2,617.01/3,925.36 = 972.81/x
  3. Step 3: Cross multiply
    2,617.01x = 3,925.36 × 972.81
  4. Step 4: Simplify right side
    2,617.01x = 3,818,630.68
  5. Step 5: Solve for x
    x = 3,818,630.68/2,617.01
  6. Step 6: Final answer
    x = 1,459.16

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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.