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Finding the Fourth Proportional to 8,712, 13,069.44 and 2,557.44

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Solution

The fourth proportional to 8,712, 13,069.44 and 2,557.44 is: 3,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712 : 13,069.44 = 2,557.44 : x
  2. Step 2: Convert to fraction form
    8,712/13,069.44 = 2,557.44/x
  3. Step 3: Cross multiply
    8,712x = 13,069.44 × 2,557.44
  4. Step 4: Simplify right side
    8,712x = 33,424,308.63
  5. Step 5: Solve for x
    x = 33,424,308.63/8,712
  6. Step 6: Final answer
    x = 3,836.58

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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.