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Finding the Fourth Proportional to 1,774.50, 2,643.01 and 1,681.98

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Solution

The fourth proportional to 1,774.50, 2,643.01 and 1,681.98 is: 2,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.50 : 2,643.01 = 1,681.98 : x
  2. Step 2: Convert to fraction form
    1,774.50/2,643.01 = 1,681.98/x
  3. Step 3: Cross multiply
    1,774.50x = 2,643.01 × 1,681.98
  4. Step 4: Simplify right side
    1,774.50x = 4,445,489.96
  5. Step 5: Solve for x
    x = 4,445,489.96/1,774.50
  6. Step 6: Final answer
    x = 2,505.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.