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Finding the Fourth Proportional to 7,070.40, 9,758.40 and 5,286.82

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Solution

The fourth proportional to 7,070.40, 9,758.40 and 5,286.82 is: 7,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.40 : 9,758.40 = 5,286.82 : x
  2. Step 2: Convert to fraction form
    7,070.40/9,758.40 = 5,286.82/x
  3. Step 3: Cross multiply
    7,070.40x = 9,758.40 × 5,286.82
  4. Step 4: Simplify right side
    7,070.40x = 51,590,904.29
  5. Step 5: Solve for x
    x = 51,590,904.29/7,070.40
  6. Step 6: Final answer
    x = 7,296.74

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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.