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Finding the Fourth Proportional to 12,570.12, 18,860.04 and 5,643

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Solution

The fourth proportional to 12,570.12, 18,860.04 and 5,643 is: 8,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.12 : 18,860.04 = 5,643 : x
  2. Step 2: Convert to fraction form
    12,570.12/18,860.04 = 5,643/x
  3. Step 3: Cross multiply
    12,570.12x = 18,860.04 × 5,643
  4. Step 4: Simplify right side
    12,570.12x = 106,427,205.72
  5. Step 5: Solve for x
    x = 106,427,205.72/12,570.12
  6. Step 6: Final answer
    x = 8,466.68

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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.