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Finding the Fourth Proportional to 7,070.39, 9,778.28 and 6,184.65

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Solution

The fourth proportional to 7,070.39, 9,778.28 and 6,184.65 is: 8,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.39 : 9,778.28 = 6,184.65 : x
  2. Step 2: Convert to fraction form
    7,070.39/9,778.28 = 6,184.65/x
  3. Step 3: Cross multiply
    7,070.39x = 9,778.28 × 6,184.65
  4. Step 4: Simplify right side
    7,070.39x = 60,475,208.48
  5. Step 5: Solve for x
    x = 60,475,208.48/7,070.39
  6. Step 6: Final answer
    x = 8,553.31

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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.