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Finding the Fourth Proportional to 1,988.95, 2,983.42 and 756.07

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Solution

The fourth proportional to 1,988.95, 2,983.42 and 756.07 is: 1,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.95 : 2,983.42 = 756.07 : x
  2. Step 2: Convert to fraction form
    1,988.95/2,983.42 = 756.07/x
  3. Step 3: Cross multiply
    1,988.95x = 2,983.42 × 756.07
  4. Step 4: Simplify right side
    1,988.95x = 2,255,679.03
  5. Step 5: Solve for x
    x = 2,255,679.03/1,988.95
  6. Step 6: Final answer
    x = 1,134.11

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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.