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Finding the Fourth Proportional to 7,144.58, 9,849.04 and 5,013.66

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Solution

The fourth proportional to 7,144.58, 9,849.04 and 5,013.66 is: 6,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.58 : 9,849.04 = 5,013.66 : x
  2. Step 2: Convert to fraction form
    7,144.58/9,849.04 = 5,013.66/x
  3. Step 3: Cross multiply
    7,144.58x = 9,849.04 × 5,013.66
  4. Step 4: Simplify right side
    7,144.58x = 49,379,737.89
  5. Step 5: Solve for x
    x = 49,379,737.89/7,144.58
  6. Step 6: Final answer
    x = 6,911.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.