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Finding the Fourth Proportional to 13,298.40, 18,348.48 and 8,577

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Solution

The fourth proportional to 13,298.40, 18,348.48 and 8,577 is: 11,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.40 : 18,348.48 = 8,577 : x
  2. Step 2: Convert to fraction form
    13,298.40/18,348.48 = 8,577/x
  3. Step 3: Cross multiply
    13,298.40x = 18,348.48 × 8,577
  4. Step 4: Simplify right side
    13,298.40x = 157,374,912.96
  5. Step 5: Solve for x
    x = 157,374,912.96/13,298.40
  6. Step 6: Final answer
    x = 11,834.12

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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.