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Finding the Fourth Proportional to 8,023.76, 12,013.76 and 5,421.52

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Solution

The fourth proportional to 8,023.76, 12,013.76 and 5,421.52 is: 8,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.76 : 12,013.76 = 5,421.52 : x
  2. Step 2: Convert to fraction form
    8,023.76/12,013.76 = 5,421.52/x
  3. Step 3: Cross multiply
    8,023.76x = 12,013.76 × 5,421.52
  4. Step 4: Simplify right side
    8,023.76x = 65,132,840.12
  5. Step 5: Solve for x
    x = 65,132,840.12/8,023.76
  6. Step 6: Final answer
    x = 8,117.50

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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.