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Finding the Fourth Proportional to 7,871.42, 11,823.53 and 6,641.24

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Solution

The fourth proportional to 7,871.42, 11,823.53 and 6,641.24 is: 9,975.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.42 : 11,823.53 = 6,641.24 : x
  2. Step 2: Convert to fraction form
    7,871.42/11,823.53 = 6,641.24/x
  3. Step 3: Cross multiply
    7,871.42x = 11,823.53 × 6,641.24
  4. Step 4: Simplify right side
    7,871.42x = 78,522,808.05
  5. Step 5: Solve for x
    x = 78,522,808.05/7,871.42
  6. Step 6: Final answer
    x = 9,975.69

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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.