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Finding the Fourth Proportional to 9,019.80, 12,441.80 and 5,827.92

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Solution

The fourth proportional to 9,019.80, 12,441.80 and 5,827.92 is: 8,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.80 : 12,441.80 = 5,827.92 : x
  2. Step 2: Convert to fraction form
    9,019.80/12,441.80 = 5,827.92/x
  3. Step 3: Cross multiply
    9,019.80x = 12,441.80 × 5,827.92
  4. Step 4: Simplify right side
    9,019.80x = 72,509,785.92
  5. Step 5: Solve for x
    x = 72,509,785.92/9,019.80
  6. Step 6: Final answer
    x = 8,038.96

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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.