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Finding the Fourth Proportional to 37,807.80, 56,719.80 and 11,515.20

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Solution

The fourth proportional to 37,807.80, 56,719.80 and 11,515.20 is: 17,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.80 : 56,719.80 = 11,515.20 : x
  2. Step 2: Convert to fraction form
    37,807.80/56,719.80 = 11,515.20/x
  3. Step 3: Cross multiply
    37,807.80x = 56,719.80 × 11,515.20
  4. Step 4: Simplify right side
    37,807.80x = 653,139,840.96
  5. Step 5: Solve for x
    x = 653,139,840.96/37,807.80
  6. Step 6: Final answer
    x = 17,275.27

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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.