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Finding the Fourth Proportional to 9,705.68, 14,559.06 and 2,780

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Solution

The fourth proportional to 9,705.68, 14,559.06 and 2,780 is: 4,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.68 : 14,559.06 = 2,780 : x
  2. Step 2: Convert to fraction form
    9,705.68/14,559.06 = 2,780/x
  3. Step 3: Cross multiply
    9,705.68x = 14,559.06 × 2,780
  4. Step 4: Simplify right side
    9,705.68x = 40,474,186.80
  5. Step 5: Solve for x
    x = 40,474,186.80/9,705.68
  6. Step 6: Final answer
    x = 4,170.15

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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.