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Finding the Fourth Proportional to 28,424.17, 42,636.22 and 7,647.67

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Solution

The fourth proportional to 28,424.17, 42,636.22 and 7,647.67 is: 11,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424.17 : 42,636.22 = 7,647.67 : x
  2. Step 2: Convert to fraction form
    28,424.17/42,636.22 = 7,647.67/x
  3. Step 3: Cross multiply
    28,424.17x = 42,636.22 × 7,647.67
  4. Step 4: Simplify right side
    28,424.17x = 326,067,740.61
  5. Step 5: Solve for x
    x = 326,067,740.61/28,424.17
  6. Step 6: Final answer
    x = 11,471.50

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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.