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Finding the Fourth Proportional to 2,392.32, 3,303 and 1,607.76

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Solution

The fourth proportional to 2,392.32, 3,303 and 1,607.76 is: 2,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.32 : 3,303 = 1,607.76 : x
  2. Step 2: Convert to fraction form
    2,392.32/3,303 = 1,607.76/x
  3. Step 3: Cross multiply
    2,392.32x = 3,303 × 1,607.76
  4. Step 4: Simplify right side
    2,392.32x = 5,310,431.28
  5. Step 5: Solve for x
    x = 5,310,431.28/2,392.32
  6. Step 6: Final answer
    x = 2,219.78

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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.