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Finding the Fourth Proportional to 3,212.64, 4,819.13 and 904.32

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Solution

The fourth proportional to 3,212.64, 4,819.13 and 904.32 is: 1,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.64 : 4,819.13 = 904.32 : x
  2. Step 2: Convert to fraction form
    3,212.64/4,819.13 = 904.32/x
  3. Step 3: Cross multiply
    3,212.64x = 4,819.13 × 904.32
  4. Step 4: Simplify right side
    3,212.64x = 4,358,031.12
  5. Step 5: Solve for x
    x = 4,358,031.12/3,212.64
  6. Step 6: Final answer
    x = 1,356.53

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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.