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Finding the Fourth Proportional to 9,778.77, 14,668.14 and 2,758.77

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Solution

The fourth proportional to 9,778.77, 14,668.14 and 2,758.77 is: 4,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.77 : 14,668.14 = 2,758.77 : x
  2. Step 2: Convert to fraction form
    9,778.77/14,668.14 = 2,758.77/x
  3. Step 3: Cross multiply
    9,778.77x = 14,668.14 × 2,758.77
  4. Step 4: Simplify right side
    9,778.77x = 40,466,024.59
  5. Step 5: Solve for x
    x = 40,466,024.59/9,778.77
  6. Step 6: Final answer
    x = 4,138.15

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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.