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Finding the Fourth Proportional to 7,777, 10,728.56 and 5,259.99

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Solution

The fourth proportional to 7,777, 10,728.56 and 5,259.99 is: 7,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777 : 10,728.56 = 5,259.99 : x
  2. Step 2: Convert to fraction form
    7,777/10,728.56 = 5,259.99/x
  3. Step 3: Cross multiply
    7,777x = 10,728.56 × 5,259.99
  4. Step 4: Simplify right side
    7,777x = 56,432,118.31
  5. Step 5: Solve for x
    x = 56,432,118.31/7,777
  6. Step 6: Final answer
    x = 7,256.28

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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.