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Finding the Fourth Proportional to 7,097.29, 9,795.90 and 4,114.78

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Solution

The fourth proportional to 7,097.29, 9,795.90 and 4,114.78 is: 5,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.29 : 9,795.90 = 4,114.78 : x
  2. Step 2: Convert to fraction form
    7,097.29/9,795.90 = 4,114.78/x
  3. Step 3: Cross multiply
    7,097.29x = 9,795.90 × 4,114.78
  4. Step 4: Simplify right side
    7,097.29x = 40,307,973.40
  5. Step 5: Solve for x
    x = 40,307,973.40/7,097.29
  6. Step 6: Final answer
    x = 5,679.35

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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.