Home / 1,977.32-2,966.18-1,003.16

Finding the Fourth Proportional to 1,977.32, 2,966.18 and 1,003.16

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Solution

The fourth proportional to 1,977.32, 2,966.18 and 1,003.16 is: 1,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.32 : 2,966.18 = 1,003.16 : x
  2. Step 2: Convert to fraction form
    1,977.32/2,966.18 = 1,003.16/x
  3. Step 3: Cross multiply
    1,977.32x = 2,966.18 × 1,003.16
  4. Step 4: Simplify right side
    1,977.32x = 2,975,533.28
  5. Step 5: Solve for x
    x = 2,975,533.28/1,977.32
  6. Step 6: Final answer
    x = 1,504.84

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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.