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Finding the Fourth Proportional to 9,105.66, 12,566.05 and 5,126.92

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Solution

The fourth proportional to 9,105.66, 12,566.05 and 5,126.92 is: 7,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.66 : 12,566.05 = 5,126.92 : x
  2. Step 2: Convert to fraction form
    9,105.66/12,566.05 = 5,126.92/x
  3. Step 3: Cross multiply
    9,105.66x = 12,566.05 × 5,126.92
  4. Step 4: Simplify right side
    9,105.66x = 64,425,133.07
  5. Step 5: Solve for x
    x = 64,425,133.07/9,105.66
  6. Step 6: Final answer
    x = 7,075.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.