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Finding the Fourth Proportional to 5,133.85, 7,700.78 and 4,259.05

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Solution

The fourth proportional to 5,133.85, 7,700.78 and 4,259.05 is: 6,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.85 : 7,700.78 = 4,259.05 : x
  2. Step 2: Convert to fraction form
    5,133.85/7,700.78 = 4,259.05/x
  3. Step 3: Cross multiply
    5,133.85x = 7,700.78 × 4,259.05
  4. Step 4: Simplify right side
    5,133.85x = 32,797,985.76
  5. Step 5: Solve for x
    x = 32,797,985.76/5,133.85
  6. Step 6: Final answer
    x = 6,388.58

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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.