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Finding the Fourth Proportional to 11,343.70, 15,654.78 and 6,307.90

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Solution

The fourth proportional to 11,343.70, 15,654.78 and 6,307.90 is: 8,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.70 : 15,654.78 = 6,307.90 : x
  2. Step 2: Convert to fraction form
    11,343.70/15,654.78 = 6,307.90/x
  3. Step 3: Cross multiply
    11,343.70x = 15,654.78 × 6,307.90
  4. Step 4: Simplify right side
    11,343.70x = 98,748,786.76
  5. Step 5: Solve for x
    x = 98,748,786.76/11,343.70
  6. Step 6: Final answer
    x = 8,705.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.