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Finding the Fourth Proportional to 9,705.80, 14,560.14 and 3,129.80

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Solution

The fourth proportional to 9,705.80, 14,560.14 and 3,129.80 is: 4,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.80 : 14,560.14 = 3,129.80 : x
  2. Step 2: Convert to fraction form
    9,705.80/14,560.14 = 3,129.80/x
  3. Step 3: Cross multiply
    9,705.80x = 14,560.14 × 3,129.80
  4. Step 4: Simplify right side
    9,705.80x = 45,570,326.17
  5. Step 5: Solve for x
    x = 45,570,326.17/9,705.80
  6. Step 6: Final answer
    x = 4,695.16

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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.