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Finding the Fourth Proportional to 43,417.61, 65,131.14 and 13,828.54

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Solution

The fourth proportional to 43,417.61, 65,131.14 and 13,828.54 is: 20,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,417.61 : 65,131.14 = 13,828.54 : x
  2. Step 2: Convert to fraction form
    43,417.61/65,131.14 = 13,828.54/x
  3. Step 3: Cross multiply
    43,417.61x = 65,131.14 × 13,828.54
  4. Step 4: Simplify right side
    43,417.61x = 900,668,574.74
  5. Step 5: Solve for x
    x = 900,668,574.74/43,417.61
  6. Step 6: Final answer
    x = 20,744.31

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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.