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Finding the Fourth Proportional to 13,490.66, 18,617.13 and 7,826.48

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Solution

The fourth proportional to 13,490.66, 18,617.13 and 7,826.48 is: 10,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.66 : 18,617.13 = 7,826.48 : x
  2. Step 2: Convert to fraction form
    13,490.66/18,617.13 = 7,826.48/x
  3. Step 3: Cross multiply
    13,490.66x = 18,617.13 × 7,826.48
  4. Step 4: Simplify right side
    13,490.66x = 145,706,595.60
  5. Step 5: Solve for x
    x = 145,706,595.60/13,490.66
  6. Step 6: Final answer
    x = 10,800.55

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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.