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Finding the Fourth Proportional to 6,952.55, 10,428.74 and 1,687.60

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Solution

The fourth proportional to 6,952.55, 10,428.74 and 1,687.60 is: 2,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.55 : 10,428.74 = 1,687.60 : x
  2. Step 2: Convert to fraction form
    6,952.55/10,428.74 = 1,687.60/x
  3. Step 3: Cross multiply
    6,952.55x = 10,428.74 × 1,687.60
  4. Step 4: Simplify right side
    6,952.55x = 17,599,533.19
  5. Step 5: Solve for x
    x = 17,599,533.19/6,952.55
  6. Step 6: Final answer
    x = 2,531.38

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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.