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Finding the Fourth Proportional to 7,157.18, 9,877.46 and 4,506.86

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Solution

The fourth proportional to 7,157.18, 9,877.46 and 4,506.86 is: 6,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.18 : 9,877.46 = 4,506.86 : x
  2. Step 2: Convert to fraction form
    7,157.18/9,877.46 = 4,506.86/x
  3. Step 3: Cross multiply
    7,157.18x = 9,877.46 × 4,506.86
  4. Step 4: Simplify right side
    7,157.18x = 44,516,329.38
  5. Step 5: Solve for x
    x = 44,516,329.38/7,157.18
  6. Step 6: Final answer
    x = 6,219.81

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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.