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Finding the Fourth Proportional to 7,761.68, 10,707.36 and 4,615.64

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Solution

The fourth proportional to 7,761.68, 10,707.36 and 4,615.64 is: 6,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.68 : 10,707.36 = 4,615.64 : x
  2. Step 2: Convert to fraction form
    7,761.68/10,707.36 = 4,615.64/x
  3. Step 3: Cross multiply
    7,761.68x = 10,707.36 × 4,615.64
  4. Step 4: Simplify right side
    7,761.68x = 49,421,319.11
  5. Step 5: Solve for x
    x = 49,421,319.11/7,761.68
  6. Step 6: Final answer
    x = 6,367.35

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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.