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Finding the Fourth Proportional to 11,347.70, 15,660.13 and 6,870.50

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Solution

The fourth proportional to 11,347.70, 15,660.13 and 6,870.50 is: 9,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.70 : 15,660.13 = 6,870.50 : x
  2. Step 2: Convert to fraction form
    11,347.70/15,660.13 = 6,870.50/x
  3. Step 3: Cross multiply
    11,347.70x = 15,660.13 × 6,870.50
  4. Step 4: Simplify right side
    11,347.70x = 107,592,923.17
  5. Step 5: Solve for x
    x = 107,592,923.17/11,347.70
  6. Step 6: Final answer
    x = 9,481.47

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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.