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Finding the Fourth Proportional to 9,359.84, 12,877.84 and 7,108.64

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Solution

The fourth proportional to 9,359.84, 12,877.84 and 7,108.64 is: 9,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.84 : 12,877.84 = 7,108.64 : x
  2. Step 2: Convert to fraction form
    9,359.84/12,877.84 = 7,108.64/x
  3. Step 3: Cross multiply
    9,359.84x = 12,877.84 × 7,108.64
  4. Step 4: Simplify right side
    9,359.84x = 91,543,928.54
  5. Step 5: Solve for x
    x = 91,543,928.54/9,359.84
  6. Step 6: Final answer
    x = 9,780.50

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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.