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Finding the Fourth Proportional to 10,605.04, 15,907.80 and 3,679.52

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Solution

The fourth proportional to 10,605.04, 15,907.80 and 3,679.52 is: 5,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.04 : 15,907.80 = 3,679.52 : x
  2. Step 2: Convert to fraction form
    10,605.04/15,907.80 = 3,679.52/x
  3. Step 3: Cross multiply
    10,605.04x = 15,907.80 × 3,679.52
  4. Step 4: Simplify right side
    10,605.04x = 58,533,068.26
  5. Step 5: Solve for x
    x = 58,533,068.26/10,605.04
  6. Step 6: Final answer
    x = 5,519.36

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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.