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Finding the Fourth Proportional to 2,616.58, 3,922.40 and 972.01

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Solution

The fourth proportional to 2,616.58, 3,922.40 and 972.01 is: 1,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.58 : 3,922.40 = 972.01 : x
  2. Step 2: Convert to fraction form
    2,616.58/3,922.40 = 972.01/x
  3. Step 3: Cross multiply
    2,616.58x = 3,922.40 × 972.01
  4. Step 4: Simplify right side
    2,616.58x = 3,812,607.16
  5. Step 5: Solve for x
    x = 3,812,607.16/2,616.58
  6. Step 6: Final answer
    x = 1,457.10

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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.