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Finding the Fourth Proportional to 1,977.12, 2,966.04 and 678.30

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Solution

The fourth proportional to 1,977.12, 2,966.04 and 678.30 is: 1,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.12 : 2,966.04 = 678.30 : x
  2. Step 2: Convert to fraction form
    1,977.12/2,966.04 = 678.30/x
  3. Step 3: Cross multiply
    1,977.12x = 2,966.04 × 678.30
  4. Step 4: Simplify right side
    1,977.12x = 2,011,864.93
  5. Step 5: Solve for x
    x = 2,011,864.93/1,977.12
  6. Step 6: Final answer
    x = 1,017.57

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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.