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Finding the Fourth Proportional to 13,648.79, 20,461 and 5,326.87

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Solution

The fourth proportional to 13,648.79, 20,461 and 5,326.87 is: 7,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.79 : 20,461 = 5,326.87 : x
  2. Step 2: Convert to fraction form
    13,648.79/20,461 = 5,326.87/x
  3. Step 3: Cross multiply
    13,648.79x = 20,461 × 5,326.87
  4. Step 4: Simplify right side
    13,648.79x = 108,993,087.07
  5. Step 5: Solve for x
    x = 108,993,087.07/13,648.79
  6. Step 6: Final answer
    x = 7,985.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.