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Finding the Fourth Proportional to 6,398.34, 9,597.51 and 4,216.81

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Solution

The fourth proportional to 6,398.34, 9,597.51 and 4,216.81 is: 6,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.34 : 9,597.51 = 4,216.81 : x
  2. Step 2: Convert to fraction form
    6,398.34/9,597.51 = 4,216.81/x
  3. Step 3: Cross multiply
    6,398.34x = 9,597.51 × 4,216.81
  4. Step 4: Simplify right side
    6,398.34x = 40,470,882.00
  5. Step 5: Solve for x
    x = 40,470,882.00/6,398.34
  6. Step 6: Final answer
    x = 6,325.21

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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.