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Finding the Fourth Proportional to 6,289.95, 9,416.70 and 6,107.70

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Solution

The fourth proportional to 6,289.95, 9,416.70 and 6,107.70 is: 9,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.95 : 9,416.70 = 6,107.70 : x
  2. Step 2: Convert to fraction form
    6,289.95/9,416.70 = 6,107.70/x
  3. Step 3: Cross multiply
    6,289.95x = 9,416.70 × 6,107.70
  4. Step 4: Simplify right side
    6,289.95x = 57,514,378.59
  5. Step 5: Solve for x
    x = 57,514,378.59/6,289.95
  6. Step 6: Final answer
    x = 9,143.85

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Similar ratio
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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.