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Finding the Fourth Proportional to 40,809.60, 61,223.04 and 13,104

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Solution

The fourth proportional to 40,809.60, 61,223.04 and 13,104 is: 19,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,809.60 : 61,223.04 = 13,104 : x
  2. Step 2: Convert to fraction form
    40,809.60/61,223.04 = 13,104/x
  3. Step 3: Cross multiply
    40,809.60x = 61,223.04 × 13,104
  4. Step 4: Simplify right side
    40,809.60x = 802,266,716.16
  5. Step 5: Solve for x
    x = 802,266,716.16/40,809.60
  6. Step 6: Final answer
    x = 19,658.77

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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.