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Finding the Fourth Proportional to 5,346.40, 8,003.40 and 4,763.20

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Solution

The fourth proportional to 5,346.40, 8,003.40 and 4,763.20 is: 7,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.40 : 8,003.40 = 4,763.20 : x
  2. Step 2: Convert to fraction form
    5,346.40/8,003.40 = 4,763.20/x
  3. Step 3: Cross multiply
    5,346.40x = 8,003.40 × 4,763.20
  4. Step 4: Simplify right side
    5,346.40x = 38,121,794.88
  5. Step 5: Solve for x
    x = 38,121,794.88/5,346.40
  6. Step 6: Final answer
    x = 7,130.37

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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.