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Finding the Fourth Proportional to 13,753.50, 18,979.79 and 7,465.83

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Solution

The fourth proportional to 13,753.50, 18,979.79 and 7,465.83 is: 10,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.50 : 18,979.79 = 7,465.83 : x
  2. Step 2: Convert to fraction form
    13,753.50/18,979.79 = 7,465.83/x
  3. Step 3: Cross multiply
    13,753.50x = 18,979.79 × 7,465.83
  4. Step 4: Simplify right side
    13,753.50x = 141,699,848.25
  5. Step 5: Solve for x
    x = 141,699,848.25/13,753.50
  6. Step 6: Final answer
    x = 10,302.82

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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.