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Finding the Fourth Proportional to 11,296.98, 15,591.72 and 7,661.40

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Solution

The fourth proportional to 11,296.98, 15,591.72 and 7,661.40 is: 10,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.98 : 15,591.72 = 7,661.40 : x
  2. Step 2: Convert to fraction form
    11,296.98/15,591.72 = 7,661.40/x
  3. Step 3: Cross multiply
    11,296.98x = 15,591.72 × 7,661.40
  4. Step 4: Simplify right side
    11,296.98x = 119,454,403.61
  5. Step 5: Solve for x
    x = 119,454,403.61/11,296.98
  6. Step 6: Final answer
    x = 10,574.01

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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.