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Finding the Fourth Proportional to 12,881.16, 19,319.04 and 3,645

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Solution

The fourth proportional to 12,881.16, 19,319.04 and 3,645 is: 5,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.16 : 19,319.04 = 3,645 : x
  2. Step 2: Convert to fraction form
    12,881.16/19,319.04 = 3,645/x
  3. Step 3: Cross multiply
    12,881.16x = 19,319.04 × 3,645
  4. Step 4: Simplify right side
    12,881.16x = 70,417,900.80
  5. Step 5: Solve for x
    x = 70,417,900.80/12,881.16
  6. Step 6: Final answer
    x = 5,466.74

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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.