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Finding the Fourth Proportional to 10,271.76, 15,328.97 and 9,164.49

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Solution

The fourth proportional to 10,271.76, 15,328.97 and 9,164.49 is: 13,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.76 : 15,328.97 = 9,164.49 : x
  2. Step 2: Convert to fraction form
    10,271.76/15,328.97 = 9,164.49/x
  3. Step 3: Cross multiply
    10,271.76x = 15,328.97 × 9,164.49
  4. Step 4: Simplify right side
    10,271.76x = 140,482,146.45
  5. Step 5: Solve for x
    x = 140,482,146.45/10,271.76
  6. Step 6: Final answer
    x = 13,676.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.