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Finding the Fourth Proportional to 7,911, 10,911.24 and 6,658.74

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Solution

The fourth proportional to 7,911, 10,911.24 and 6,658.74 is: 9,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911 : 10,911.24 = 6,658.74 : x
  2. Step 2: Convert to fraction form
    7,911/10,911.24 = 6,658.74/x
  3. Step 3: Cross multiply
    7,911x = 10,911.24 × 6,658.74
  4. Step 4: Simplify right side
    7,911x = 72,655,110.24
  5. Step 5: Solve for x
    x = 72,655,110.24/7,911
  6. Step 6: Final answer
    x = 9,184.06

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1.5x scale

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.