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Finding the Fourth Proportional to 7,047.12, 9,724.64 and 3,903.20

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Solution

The fourth proportional to 7,047.12, 9,724.64 and 3,903.20 is: 5,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.12 : 9,724.64 = 3,903.20 : x
  2. Step 2: Convert to fraction form
    7,047.12/9,724.64 = 3,903.20/x
  3. Step 3: Cross multiply
    7,047.12x = 9,724.64 × 3,903.20
  4. Step 4: Simplify right side
    7,047.12x = 37,957,214.85
  5. Step 5: Solve for x
    x = 37,957,214.85/7,047.12
  6. Step 6: Final answer
    x = 5,386.20

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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.