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Finding the Fourth Proportional to 9,772.61, 13,487.03 and 8,176.44

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Solution

The fourth proportional to 9,772.61, 13,487.03 and 8,176.44 is: 11,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.61 : 13,487.03 = 8,176.44 : x
  2. Step 2: Convert to fraction form
    9,772.61/13,487.03 = 8,176.44/x
  3. Step 3: Cross multiply
    9,772.61x = 13,487.03 × 8,176.44
  4. Step 4: Simplify right side
    9,772.61x = 110,275,881.35
  5. Step 5: Solve for x
    x = 110,275,881.35/9,772.61
  6. Step 6: Final answer
    x = 11,284.18

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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.