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Finding the Fourth Proportional to 7,101, 9,800.28 and 4,306.50

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Solution

The fourth proportional to 7,101, 9,800.28 and 4,306.50 is: 5,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101 : 9,800.28 = 4,306.50 : x
  2. Step 2: Convert to fraction form
    7,101/9,800.28 = 4,306.50/x
  3. Step 3: Cross multiply
    7,101x = 9,800.28 × 4,306.50
  4. Step 4: Simplify right side
    7,101x = 42,204,905.82
  5. Step 5: Solve for x
    x = 42,204,905.82/7,101
  6. Step 6: Final answer
    x = 5,943.52

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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.