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Finding the Fourth Proportional to 7,807.50, 11,710.95 and 3,425.00

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Solution

The fourth proportional to 7,807.50, 11,710.95 and 3,425.00 is: 5,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.50 : 11,710.95 = 3,425.00 : x
  2. Step 2: Convert to fraction form
    7,807.50/11,710.95 = 3,425.00/x
  3. Step 3: Cross multiply
    7,807.50x = 11,710.95 × 3,425.00
  4. Step 4: Simplify right side
    7,807.50x = 40,109,945.20
  5. Step 5: Solve for x
    x = 40,109,945.20/7,807.50
  6. Step 6: Final answer
    x = 5,137.36

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1.5x scale

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.