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Finding the Fourth Proportional to 8,980, 13,468.98 and 2,405.74

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Solution

The fourth proportional to 8,980, 13,468.98 and 2,405.74 is: 3,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980 : 13,468.98 = 2,405.74 : x
  2. Step 2: Convert to fraction form
    8,980/13,468.98 = 2,405.74/x
  3. Step 3: Cross multiply
    8,980x = 13,468.98 × 2,405.74
  4. Step 4: Simplify right side
    8,980x = 32,402,863.95
  5. Step 5: Solve for x
    x = 32,402,863.95/8,980
  6. Step 6: Final answer
    x = 3,608.34

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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.