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Finding the Fourth Proportional to 8,462.35, 12,632.95 and 7,355.48

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Solution

The fourth proportional to 8,462.35, 12,632.95 and 7,355.48 is: 10,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.35 : 12,632.95 = 7,355.48 : x
  2. Step 2: Convert to fraction form
    8,462.35/12,632.95 = 7,355.48/x
  3. Step 3: Cross multiply
    8,462.35x = 12,632.95 × 7,355.48
  4. Step 4: Simplify right side
    8,462.35x = 92,921,374.29
  5. Step 5: Solve for x
    x = 92,921,374.29/8,462.35
  6. Step 6: Final answer
    x = 10,980.57

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