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Finding the Fourth Proportional to 7,114, 9,818.40 and 4,318.96

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Solution

The fourth proportional to 7,114, 9,818.40 and 4,318.96 is: 5,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114 : 9,818.40 = 4,318.96 : x
  2. Step 2: Convert to fraction form
    7,114/9,818.40 = 4,318.96/x
  3. Step 3: Cross multiply
    7,114x = 9,818.40 × 4,318.96
  4. Step 4: Simplify right side
    7,114x = 42,405,276.86
  5. Step 5: Solve for x
    x = 42,405,276.86/7,114
  6. Step 6: Final answer
    x = 5,960.82

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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.