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Finding the Fourth Proportional to 7,774.42, 11,661.54 and 4,655.30

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Solution

The fourth proportional to 7,774.42, 11,661.54 and 4,655.30 is: 6,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.42 : 11,661.54 = 4,655.30 : x
  2. Step 2: Convert to fraction form
    7,774.42/11,661.54 = 4,655.30/x
  3. Step 3: Cross multiply
    7,774.42x = 11,661.54 × 4,655.30
  4. Step 4: Simplify right side
    7,774.42x = 54,287,967.16
  5. Step 5: Solve for x
    x = 54,287,967.16/7,774.42
  6. Step 6: Final answer
    x = 6,982.90

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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.