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Finding the Fourth Proportional to 8,684.76, 13,031.76 and 4,302.24

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Solution

The fourth proportional to 8,684.76, 13,031.76 and 4,302.24 is: 6,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.76 : 13,031.76 = 4,302.24 : x
  2. Step 2: Convert to fraction form
    8,684.76/13,031.76 = 4,302.24/x
  3. Step 3: Cross multiply
    8,684.76x = 13,031.76 × 4,302.24
  4. Step 4: Simplify right side
    8,684.76x = 56,065,759.14
  5. Step 5: Solve for x
    x = 56,065,759.14/8,684.76
  6. Step 6: Final answer
    x = 6,455.65

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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.