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Finding the Fourth Proportional to 7,475.72, 10,316 and 4,489.78

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Solution

The fourth proportional to 7,475.72, 10,316 and 4,489.78 is: 6,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.72 : 10,316 = 4,489.78 : x
  2. Step 2: Convert to fraction form
    7,475.72/10,316 = 4,489.78/x
  3. Step 3: Cross multiply
    7,475.72x = 10,316 × 4,489.78
  4. Step 4: Simplify right side
    7,475.72x = 46,316,570.48
  5. Step 5: Solve for x
    x = 46,316,570.48/7,475.72
  6. Step 6: Final answer
    x = 6,195.60

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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.