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Finding the Fourth Proportional to 9,137.78, 13,705.65 and 2,564.22

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Solution

The fourth proportional to 9,137.78, 13,705.65 and 2,564.22 is: 3,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.78 : 13,705.65 = 2,564.22 : x
  2. Step 2: Convert to fraction form
    9,137.78/13,705.65 = 2,564.22/x
  3. Step 3: Cross multiply
    9,137.78x = 13,705.65 × 2,564.22
  4. Step 4: Simplify right side
    9,137.78x = 35,144,301.84
  5. Step 5: Solve for x
    x = 35,144,301.84/9,137.78
  6. Step 6: Final answer
    x = 3,846.04

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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.