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Finding the Fourth Proportional to 2,756.72, 4,133.54 and 907.36

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Solution

The fourth proportional to 2,756.72, 4,133.54 and 907.36 is: 1,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.72 : 4,133.54 = 907.36 : x
  2. Step 2: Convert to fraction form
    2,756.72/4,133.54 = 907.36/x
  3. Step 3: Cross multiply
    2,756.72x = 4,133.54 × 907.36
  4. Step 4: Simplify right side
    2,756.72x = 3,750,600.79
  5. Step 5: Solve for x
    x = 3,750,600.79/2,756.72
  6. Step 6: Final answer
    x = 1,360.53

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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.