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Finding the Fourth Proportional to 7,783.90, 10,737.78 and 5,266.12

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Solution

The fourth proportional to 7,783.90, 10,737.78 and 5,266.12 is: 7,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.90 : 10,737.78 = 5,266.12 : x
  2. Step 2: Convert to fraction form
    7,783.90/10,737.78 = 5,266.12/x
  3. Step 3: Cross multiply
    7,783.90x = 10,737.78 × 5,266.12
  4. Step 4: Simplify right side
    7,783.90x = 56,546,438.01
  5. Step 5: Solve for x
    x = 56,546,438.01/7,783.90
  6. Step 6: Final answer
    x = 7,264.54

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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.