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Finding the Fourth Proportional to 9,075.16, 12,507.78 and 8,822.44

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Solution

The fourth proportional to 9,075.16, 12,507.78 and 8,822.44 is: 12,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.16 : 12,507.78 = 8,822.44 : x
  2. Step 2: Convert to fraction form
    9,075.16/12,507.78 = 8,822.44/x
  3. Step 3: Cross multiply
    9,075.16x = 12,507.78 × 8,822.44
  4. Step 4: Simplify right side
    9,075.16x = 110,349,138.58
  5. Step 5: Solve for x
    x = 110,349,138.58/9,075.16
  6. Step 6: Final answer
    x = 12,159.47

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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.