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Finding the Fourth Proportional to 8,642.40, 12,965.40 and 4,941.60

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Solution

The fourth proportional to 8,642.40, 12,965.40 and 4,941.60 is: 7,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.40 : 12,965.40 = 4,941.60 : x
  2. Step 2: Convert to fraction form
    8,642.40/12,965.40 = 4,941.60/x
  3. Step 3: Cross multiply
    8,642.40x = 12,965.40 × 4,941.60
  4. Step 4: Simplify right side
    8,642.40x = 64,069,820.64
  5. Step 5: Solve for x
    x = 64,069,820.64/8,642.40
  6. Step 6: Final answer
    x = 7,413.43

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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.