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Finding the Fourth Proportional to 9,140, 13,693.76 and 6,207.84

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Solution

The fourth proportional to 9,140, 13,693.76 and 6,207.84 is: 9,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140 : 13,693.76 = 6,207.84 : x
  2. Step 2: Convert to fraction form
    9,140/13,693.76 = 6,207.84/x
  3. Step 3: Cross multiply
    9,140x = 13,693.76 × 6,207.84
  4. Step 4: Simplify right side
    9,140x = 85,008,671.08
  5. Step 5: Solve for x
    x = 85,008,671.08/9,140
  6. Step 6: Final answer
    x = 9,300.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.