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Finding the Fourth Proportional to 2,712.07, 4,068.11 and 1,416.07

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Solution

The fourth proportional to 2,712.07, 4,068.11 and 1,416.07 is: 2,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.07 : 4,068.11 = 1,416.07 : x
  2. Step 2: Convert to fraction form
    2,712.07/4,068.11 = 1,416.07/x
  3. Step 3: Cross multiply
    2,712.07x = 4,068.11 × 1,416.07
  4. Step 4: Simplify right side
    2,712.07x = 5,760,728.53
  5. Step 5: Solve for x
    x = 5,760,728.53/2,712.07
  6. Step 6: Final answer
    x = 2,124.11

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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.