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Finding the Fourth Proportional to 7,048, 9,725.40 and 3,903.76

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Solution

The fourth proportional to 7,048, 9,725.40 and 3,903.76 is: 5,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048 : 9,725.40 = 3,903.76 : x
  2. Step 2: Convert to fraction form
    7,048/9,725.40 = 3,903.76/x
  3. Step 3: Cross multiply
    7,048x = 9,725.40 × 3,903.76
  4. Step 4: Simplify right side
    7,048x = 37,965,627.50
  5. Step 5: Solve for x
    x = 37,965,627.50/7,048
  6. Step 6: Final answer
    x = 5,386.72

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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.