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Finding the Fourth Proportional to 2,537.63, 3,807.15 and 782.66

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Solution

The fourth proportional to 2,537.63, 3,807.15 and 782.66 is: 1,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.63 : 3,807.15 = 782.66 : x
  2. Step 2: Convert to fraction form
    2,537.63/3,807.15 = 782.66/x
  3. Step 3: Cross multiply
    2,537.63x = 3,807.15 × 782.66
  4. Step 4: Simplify right side
    2,537.63x = 2,979,681.07
  5. Step 5: Solve for x
    x = 2,979,681.07/2,537.63
  6. Step 6: Final answer
    x = 1,174.20

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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.