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Finding the Fourth Proportional to 6,420.76, 9,622.93 and 4,231.02

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Solution

The fourth proportional to 6,420.76, 9,622.93 and 4,231.02 is: 6,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.76 : 9,622.93 = 4,231.02 : x
  2. Step 2: Convert to fraction form
    6,420.76/9,622.93 = 4,231.02/x
  3. Step 3: Cross multiply
    6,420.76x = 9,622.93 × 4,231.02
  4. Step 4: Simplify right side
    6,420.76x = 40,714,809.29
  5. Step 5: Solve for x
    x = 40,714,809.29/6,420.76
  6. Step 6: Final answer
    x = 6,341.12

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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.