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Finding the Fourth Proportional to 8,705, 13,058.30 and 3,439.72

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Solution

The fourth proportional to 8,705, 13,058.30 and 3,439.72 is: 5,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705 : 13,058.30 = 3,439.72 : x
  2. Step 2: Convert to fraction form
    8,705/13,058.30 = 3,439.72/x
  3. Step 3: Cross multiply
    8,705x = 13,058.30 × 3,439.72
  4. Step 4: Simplify right side
    8,705x = 44,916,895.68
  5. Step 5: Solve for x
    x = 44,916,895.68/8,705
  6. Step 6: Final answer
    x = 5,159.90

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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.