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Finding the Fourth Proportional to 9,803.28, 14,723.82 and 8,400.87

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Solution

The fourth proportional to 9,803.28, 14,723.82 and 8,400.87 is: 12,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.28 : 14,723.82 = 8,400.87 : x
  2. Step 2: Convert to fraction form
    9,803.28/14,723.82 = 8,400.87/x
  3. Step 3: Cross multiply
    9,803.28x = 14,723.82 × 8,400.87
  4. Step 4: Simplify right side
    9,803.28x = 123,692,897.72
  5. Step 5: Solve for x
    x = 123,692,897.72/9,803.28
  6. Step 6: Final answer
    x = 12,617.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.