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Finding the Fourth Proportional to 6,398.55, 9,580.55 and 3,314.07

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Solution

The fourth proportional to 6,398.55, 9,580.55 and 3,314.07 is: 4,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.55 : 9,580.55 = 3,314.07 : x
  2. Step 2: Convert to fraction form
    6,398.55/9,580.55 = 3,314.07/x
  3. Step 3: Cross multiply
    6,398.55x = 9,580.55 × 3,314.07
  4. Step 4: Simplify right side
    6,398.55x = 31,750,596.77
  5. Step 5: Solve for x
    x = 31,750,596.77/6,398.55
  6. Step 6: Final answer
    x = 4,962.15

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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.