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Finding the Fourth Proportional to 4,754, 7,131.03 and 1,291.28

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Solution

The fourth proportional to 4,754, 7,131.03 and 1,291.28 is: 1,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754 : 7,131.03 = 1,291.28 : x
  2. Step 2: Convert to fraction form
    4,754/7,131.03 = 1,291.28/x
  3. Step 3: Cross multiply
    4,754x = 7,131.03 × 1,291.28
  4. Step 4: Simplify right side
    4,754x = 9,208,156.42
  5. Step 5: Solve for x
    x = 9,208,156.42/4,754
  6. Step 6: Final answer
    x = 1,936.93

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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.