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Finding the Fourth Proportional to 9,905.94, 14,775.42 and 9,217.02

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Solution

The fourth proportional to 9,905.94, 14,775.42 and 9,217.02 is: 13,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.94 : 14,775.42 = 9,217.02 : x
  2. Step 2: Convert to fraction form
    9,905.94/14,775.42 = 9,217.02/x
  3. Step 3: Cross multiply
    9,905.94x = 14,775.42 × 9,217.02
  4. Step 4: Simplify right side
    9,905.94x = 136,185,341.65
  5. Step 5: Solve for x
    x = 136,185,341.65/9,905.94
  6. Step 6: Final answer
    x = 13,747.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.