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Finding the Fourth Proportional to 10,430.66, 15,646 and 2,639.48

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Solution

The fourth proportional to 10,430.66, 15,646 and 2,639.48 is: 3,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.66 : 15,646 = 2,639.48 : x
  2. Step 2: Convert to fraction form
    10,430.66/15,646 = 2,639.48/x
  3. Step 3: Cross multiply
    10,430.66x = 15,646 × 2,639.48
  4. Step 4: Simplify right side
    10,430.66x = 41,297,304.08
  5. Step 5: Solve for x
    x = 41,297,304.08/10,430.66
  6. Step 6: Final answer
    x = 3,959.22

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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.