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Finding the Fourth Proportional to 5,300.78, 7,315.20 and 2,943.08

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Solution

The fourth proportional to 5,300.78, 7,315.20 and 2,943.08 is: 4,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.78 : 7,315.20 = 2,943.08 : x
  2. Step 2: Convert to fraction form
    5,300.78/7,315.20 = 2,943.08/x
  3. Step 3: Cross multiply
    5,300.78x = 7,315.20 × 2,943.08
  4. Step 4: Simplify right side
    5,300.78x = 21,529,182.24
  5. Step 5: Solve for x
    x = 21,529,182.24/5,300.78
  6. Step 6: Final answer
    x = 4,061.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.