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Finding the Fourth Proportional to 7,097.60, 9,795.04 and 3,953.76

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Solution

The fourth proportional to 7,097.60, 9,795.04 and 3,953.76 is: 5,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.60 : 9,795.04 = 3,953.76 : x
  2. Step 2: Convert to fraction form
    7,097.60/9,795.04 = 3,953.76/x
  3. Step 3: Cross multiply
    7,097.60x = 9,795.04 × 3,953.76
  4. Step 4: Simplify right side
    7,097.60x = 38,727,237.35
  5. Step 5: Solve for x
    x = 38,727,237.35/7,097.60
  6. Step 6: Final answer
    x = 5,456.38

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1.5x scale

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.