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Finding the Fourth Proportional to 1,340.98, 2,007.15 and 1,052.98

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Solution

The fourth proportional to 1,340.98, 2,007.15 and 1,052.98 is: 1,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.98 : 2,007.15 = 1,052.98 : x
  2. Step 2: Convert to fraction form
    1,340.98/2,007.15 = 1,052.98/x
  3. Step 3: Cross multiply
    1,340.98x = 2,007.15 × 1,052.98
  4. Step 4: Simplify right side
    1,340.98x = 2,113,488.81
  5. Step 5: Solve for x
    x = 2,113,488.81/1,340.98
  6. Step 6: Final answer
    x = 1,576.08

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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.