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Finding the Fourth Proportional to 7,141.62, 9,856.00 and 5,261.79

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Solution

The fourth proportional to 7,141.62, 9,856.00 and 5,261.79 is: 7,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.62 : 9,856.00 = 5,261.79 : x
  2. Step 2: Convert to fraction form
    7,141.62/9,856.00 = 5,261.79/x
  3. Step 3: Cross multiply
    7,141.62x = 9,856.00 × 5,261.79
  4. Step 4: Simplify right side
    7,141.62x = 51,860,139.81
  5. Step 5: Solve for x
    x = 51,860,139.81/7,141.62
  6. Step 6: Final answer
    x = 7,261.68

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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.