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Finding the Fourth Proportional to 2,068.66, 3,102 and 972.10

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Solution

The fourth proportional to 2,068.66, 3,102 and 972.10 is: 1,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.66 : 3,102 = 972.10 : x
  2. Step 2: Convert to fraction form
    2,068.66/3,102 = 972.10/x
  3. Step 3: Cross multiply
    2,068.66x = 3,102 × 972.10
  4. Step 4: Simplify right side
    2,068.66x = 3,015,454.20
  5. Step 5: Solve for x
    x = 3,015,454.20/2,068.66
  6. Step 6: Final answer
    x = 1,457.68

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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.