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Finding the Fourth Proportional to 7,800, 11,701.28 and 2,607.12

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Solution

The fourth proportional to 7,800, 11,701.28 and 2,607.12 is: 3,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 11,701.28 = 2,607.12 : x
  2. Step 2: Convert to fraction form
    7,800/11,701.28 = 2,607.12/x
  3. Step 3: Cross multiply
    7,800x = 11,701.28 × 2,607.12
  4. Step 4: Simplify right side
    7,800x = 30,506,641.11
  5. Step 5: Solve for x
    x = 30,506,641.11/7,800
  6. Step 6: Final answer
    x = 3,911.11

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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.