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Finding the Fourth Proportional to 7,641.04, 11,438.86 and 4,167.76

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Solution

The fourth proportional to 7,641.04, 11,438.86 and 4,167.76 is: 6,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.04 : 11,438.86 = 4,167.76 : x
  2. Step 2: Convert to fraction form
    7,641.04/11,438.86 = 4,167.76/x
  3. Step 3: Cross multiply
    7,641.04x = 11,438.86 × 4,167.76
  4. Step 4: Simplify right side
    7,641.04x = 47,674,423.15
  5. Step 5: Solve for x
    x = 47,674,423.15/7,641.04
  6. Step 6: Final answer
    x = 6,239.26

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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.