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Finding the Fourth Proportional to 9,075.66, 12,498.48 and 8,171.70

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Solution

The fourth proportional to 9,075.66, 12,498.48 and 8,171.70 is: 11,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.66 : 12,498.48 = 8,171.70 : x
  2. Step 2: Convert to fraction form
    9,075.66/12,498.48 = 8,171.70/x
  3. Step 3: Cross multiply
    9,075.66x = 12,498.48 × 8,171.70
  4. Step 4: Simplify right side
    9,075.66x = 102,133,829.02
  5. Step 5: Solve for x
    x = 102,133,829.02/9,075.66
  6. Step 6: Final answer
    x = 11,253.60

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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.