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Finding the Fourth Proportional to 6,943.50, 10,415.26 and 2,839.50

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Solution

The fourth proportional to 6,943.50, 10,415.26 and 2,839.50 is: 4,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.50 : 10,415.26 = 2,839.50 : x
  2. Step 2: Convert to fraction form
    6,943.50/10,415.26 = 2,839.50/x
  3. Step 3: Cross multiply
    6,943.50x = 10,415.26 × 2,839.50
  4. Step 4: Simplify right side
    6,943.50x = 29,574,130.77
  5. Step 5: Solve for x
    x = 29,574,130.77/6,943.50
  6. Step 6: Final answer
    x = 4,259.25

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1.5x scale

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.