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Finding the Fourth Proportional to 13,454.44, 18,567.12 and 7,865.44

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Solution

The fourth proportional to 13,454.44, 18,567.12 and 7,865.44 is: 10,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.44 : 18,567.12 = 7,865.44 : x
  2. Step 2: Convert to fraction form
    13,454.44/18,567.12 = 7,865.44/x
  3. Step 3: Cross multiply
    13,454.44x = 18,567.12 × 7,865.44
  4. Step 4: Simplify right side
    13,454.44x = 146,038,551.41
  5. Step 5: Solve for x
    x = 146,038,551.41/13,454.44
  6. Step 6: Final answer
    x = 10,854.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.