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Finding the Fourth Proportional to 7,807.50, 10,774.35 and 4,270.75

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Solution

The fourth proportional to 7,807.50, 10,774.35 and 4,270.75 is: 5,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.50 : 10,774.35 = 4,270.75 : x
  2. Step 2: Convert to fraction form
    7,807.50/10,774.35 = 4,270.75/x
  3. Step 3: Cross multiply
    7,807.50x = 10,774.35 × 4,270.75
  4. Step 4: Simplify right side
    7,807.50x = 46,014,528.33
  5. Step 5: Solve for x
    x = 46,014,528.33/7,807.50
  6. Step 6: Final answer
    x = 5,893.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.