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Finding the Fourth Proportional to 7,751.28, 11,567.04 and 6,920.64

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Solution

The fourth proportional to 7,751.28, 11,567.04 and 6,920.64 is: 10,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.28 : 11,567.04 = 6,920.64 : x
  2. Step 2: Convert to fraction form
    7,751.28/11,567.04 = 6,920.64/x
  3. Step 3: Cross multiply
    7,751.28x = 11,567.04 × 6,920.64
  4. Step 4: Simplify right side
    7,751.28x = 80,051,319.71
  5. Step 5: Solve for x
    x = 80,051,319.71/7,751.28
  6. Step 6: Final answer
    x = 10,327.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.