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Finding the Fourth Proportional to 7,097.60, 10,646.72 and 3,641.60

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Solution

The fourth proportional to 7,097.60, 10,646.72 and 3,641.60 is: 5,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.60 : 10,646.72 = 3,641.60 : x
  2. Step 2: Convert to fraction form
    7,097.60/10,646.72 = 3,641.60/x
  3. Step 3: Cross multiply
    7,097.60x = 10,646.72 × 3,641.60
  4. Step 4: Simplify right side
    7,097.60x = 38,771,095.55
  5. Step 5: Solve for x
    x = 38,771,095.55/7,097.60
  6. Step 6: Final answer
    x = 5,462.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.