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Finding the Fourth Proportional to 9,770.42, 14,661.09 and 3,931.13

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Solution

The fourth proportional to 9,770.42, 14,661.09 and 3,931.13 is: 5,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.42 : 14,661.09 = 3,931.13 : x
  2. Step 2: Convert to fraction form
    9,770.42/14,661.09 = 3,931.13/x
  3. Step 3: Cross multiply
    9,770.42x = 14,661.09 × 3,931.13
  4. Step 4: Simplify right side
    9,770.42x = 57,634,577.43
  5. Step 5: Solve for x
    x = 57,634,577.43/9,770.42
  6. Step 6: Final answer
    x = 5,898.89

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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.