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Finding the Fourth Proportional to 2,495.84, 3,743.91 and 647.01

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Solution

The fourth proportional to 2,495.84, 3,743.91 and 647.01 is: 970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.84 : 3,743.91 = 647.01 : x
  2. Step 2: Convert to fraction form
    2,495.84/3,743.91 = 647.01/x
  3. Step 3: Cross multiply
    2,495.84x = 3,743.91 × 647.01
  4. Step 4: Simplify right side
    2,495.84x = 2,422,347.21
  5. Step 5: Solve for x
    x = 2,422,347.21/2,495.84
  6. Step 6: Final answer
    x = 970.56

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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.