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Finding the Fourth Proportional to 9,869.60, 13,615.74 and 6,282.65

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Solution

The fourth proportional to 9,869.60, 13,615.74 and 6,282.65 is: 8,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.60 : 13,615.74 = 6,282.65 : x
  2. Step 2: Convert to fraction form
    9,869.60/13,615.74 = 6,282.65/x
  3. Step 3: Cross multiply
    9,869.60x = 13,615.74 × 6,282.65
  4. Step 4: Simplify right side
    9,869.60x = 85,542,860.83
  5. Step 5: Solve for x
    x = 85,542,860.83/9,869.60
  6. Step 6: Final answer
    x = 8,667.31

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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.