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Finding the Fourth Proportional to 13,385.40, 18,471.60 and 7,417.05

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Solution

The fourth proportional to 13,385.40, 18,471.60 and 7,417.05 is: 10,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.40 : 18,471.60 = 7,417.05 : x
  2. Step 2: Convert to fraction form
    13,385.40/18,471.60 = 7,417.05/x
  3. Step 3: Cross multiply
    13,385.40x = 18,471.60 × 7,417.05
  4. Step 4: Simplify right side
    13,385.40x = 137,004,780.78
  5. Step 5: Solve for x
    x = 137,004,780.78/13,385.40
  6. Step 6: Final answer
    x = 10,235.39

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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.