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Finding the Fourth Proportional to 9,711, 13,401.18 and 5,295

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Solution

The fourth proportional to 9,711, 13,401.18 and 5,295 is: 7,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711 : 13,401.18 = 5,295 : x
  2. Step 2: Convert to fraction form
    9,711/13,401.18 = 5,295/x
  3. Step 3: Cross multiply
    9,711x = 13,401.18 × 5,295
  4. Step 4: Simplify right side
    9,711x = 70,959,248.10
  5. Step 5: Solve for x
    x = 70,959,248.10/9,711
  6. Step 6: Final answer
    x = 7,307.10

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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.