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Finding the Fourth Proportional to 6,466.84, 9,695.40 and 4,381.60

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Solution

The fourth proportional to 6,466.84, 9,695.40 and 4,381.60 is: 6,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.84 : 9,695.40 = 4,381.60 : x
  2. Step 2: Convert to fraction form
    6,466.84/9,695.40 = 4,381.60/x
  3. Step 3: Cross multiply
    6,466.84x = 9,695.40 × 4,381.60
  4. Step 4: Simplify right side
    6,466.84x = 42,481,364.64
  5. Step 5: Solve for x
    x = 42,481,364.64/6,466.84
  6. Step 6: Final answer
    x = 6,569.11

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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.