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Finding the Fourth Proportional to 5,390.70, 8,086.05 and 4,742.70

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Solution

The fourth proportional to 5,390.70, 8,086.05 and 4,742.70 is: 7,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.70 : 8,086.05 = 4,742.70 : x
  2. Step 2: Convert to fraction form
    5,390.70/8,086.05 = 4,742.70/x
  3. Step 3: Cross multiply
    5,390.70x = 8,086.05 × 4,742.70
  4. Step 4: Simplify right side
    5,390.70x = 38,349,709.34
  5. Step 5: Solve for x
    x = 38,349,709.34/5,390.70
  6. Step 6: Final answer
    x = 7,114.05

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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.