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Finding the Fourth Proportional to 7,474.61, 10,312.49 and 4,823.78

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Solution

The fourth proportional to 7,474.61, 10,312.49 and 4,823.78 is: 6,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.61 : 10,312.49 = 4,823.78 : x
  2. Step 2: Convert to fraction form
    7,474.61/10,312.49 = 4,823.78/x
  3. Step 3: Cross multiply
    7,474.61x = 10,312.49 × 4,823.78
  4. Step 4: Simplify right side
    7,474.61x = 49,745,183.01
  5. Step 5: Solve for x
    x = 49,745,183.01/7,474.61
  6. Step 6: Final answer
    x = 6,655.22

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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.