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Finding the Fourth Proportional to 9,938.58, 14,911.11 and 5,320.50

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Solution

The fourth proportional to 9,938.58, 14,911.11 and 5,320.50 is: 7,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.58 : 14,911.11 = 5,320.50 : x
  2. Step 2: Convert to fraction form
    9,938.58/14,911.11 = 5,320.50/x
  3. Step 3: Cross multiply
    9,938.58x = 14,911.11 × 5,320.50
  4. Step 4: Simplify right side
    9,938.58x = 79,334,560.76
  5. Step 5: Solve for x
    x = 79,334,560.76/9,938.58
  6. Step 6: Final answer
    x = 7,982.48

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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.