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Finding the Fourth Proportional to 9,878.81, 13,623.03 and 6,521.76

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Solution

The fourth proportional to 9,878.81, 13,623.03 and 6,521.76 is: 8,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.81 : 13,623.03 = 6,521.76 : x
  2. Step 2: Convert to fraction form
    9,878.81/13,623.03 = 6,521.76/x
  3. Step 3: Cross multiply
    9,878.81x = 13,623.03 × 6,521.76
  4. Step 4: Simplify right side
    9,878.81x = 88,846,132.13
  5. Step 5: Solve for x
    x = 88,846,132.13/9,878.81
  6. Step 6: Final answer
    x = 8,993.61

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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.