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Finding the Fourth Proportional to 9,988.10, 14,958.80 and 7,894.05

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Solution

The fourth proportional to 9,988.10, 14,958.80 and 7,894.05 is: 11,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.10 : 14,958.80 = 7,894.05 : x
  2. Step 2: Convert to fraction form
    9,988.10/14,958.80 = 7,894.05/x
  3. Step 3: Cross multiply
    9,988.10x = 14,958.80 × 7,894.05
  4. Step 4: Simplify right side
    9,988.10x = 118,085,534.88
  5. Step 5: Solve for x
    x = 118,085,534.88/9,988.10
  6. Step 6: Final answer
    x = 11,822.63

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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.