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Finding the Fourth Proportional to 9,798.91, 14,698.93 and 2,778.38

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Solution

The fourth proportional to 9,798.91, 14,698.93 and 2,778.38 is: 4,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.91 : 14,698.93 = 2,778.38 : x
  2. Step 2: Convert to fraction form
    9,798.91/14,698.93 = 2,778.38/x
  3. Step 3: Cross multiply
    9,798.91x = 14,698.93 × 2,778.38
  4. Step 4: Simplify right side
    9,798.91x = 40,839,165.46
  5. Step 5: Solve for x
    x = 40,839,165.46/9,798.91
  6. Step 6: Final answer
    x = 4,167.72

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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.