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Finding the Fourth Proportional to 10,205, 15,307.44 and 3,279.52

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Solution

The fourth proportional to 10,205, 15,307.44 and 3,279.52 is: 4,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205 : 15,307.44 = 3,279.52 : x
  2. Step 2: Convert to fraction form
    10,205/15,307.44 = 3,279.52/x
  3. Step 3: Cross multiply
    10,205x = 15,307.44 × 3,279.52
  4. Step 4: Simplify right side
    10,205x = 50,201,055.63
  5. Step 5: Solve for x
    x = 50,201,055.63/10,205
  6. Step 6: Final answer
    x = 4,919.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.