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Finding the Fourth Proportional to 9,191.76, 12,684.64 and 5,000

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Solution

The fourth proportional to 9,191.76, 12,684.64 and 5,000 is: 6,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.76 : 12,684.64 = 5,000 : x
  2. Step 2: Convert to fraction form
    9,191.76/12,684.64 = 5,000/x
  3. Step 3: Cross multiply
    9,191.76x = 12,684.64 × 5,000
  4. Step 4: Simplify right side
    9,191.76x = 63,423,200
  5. Step 5: Solve for x
    x = 63,423,200/9,191.76
  6. Step 6: Final answer
    x = 6,900.01

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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.