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Finding the Fourth Proportional to 13,017.60, 17,972.97 and 8,774.98

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Solution

The fourth proportional to 13,017.60, 17,972.97 and 8,774.98 is: 12,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.60 : 17,972.97 = 8,774.98 : x
  2. Step 2: Convert to fraction form
    13,017.60/17,972.97 = 8,774.98/x
  3. Step 3: Cross multiply
    13,017.60x = 17,972.97 × 8,774.98
  4. Step 4: Simplify right side
    13,017.60x = 157,712,452.29
  5. Step 5: Solve for x
    x = 157,712,452.29/13,017.60
  6. Step 6: Final answer
    x = 12,115.32

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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.