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Finding the Fourth Proportional to 7,807.70, 10,774.41 and 4,270.70

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Solution

The fourth proportional to 7,807.70, 10,774.41 and 4,270.70 is: 5,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.70 : 10,774.41 = 4,270.70 : x
  2. Step 2: Convert to fraction form
    7,807.70/10,774.41 = 4,270.70/x
  3. Step 3: Cross multiply
    7,807.70x = 10,774.41 × 4,270.70
  4. Step 4: Simplify right side
    7,807.70x = 46,014,272.79
  5. Step 5: Solve for x
    x = 46,014,272.79/7,807.70
  6. Step 6: Final answer
    x = 5,893.45

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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.