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Finding the Fourth Proportional to 19,657, 29,479.40 and 6,506.64

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Solution

The fourth proportional to 19,657, 29,479.40 and 6,506.64 is: 9,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657 : 29,479.40 = 6,506.64 : x
  2. Step 2: Convert to fraction form
    19,657/29,479.40 = 6,506.64/x
  3. Step 3: Cross multiply
    19,657x = 29,479.40 × 6,506.64
  4. Step 4: Simplify right side
    19,657x = 191,811,843.22
  5. Step 5: Solve for x
    x = 191,811,843.22/19,657
  6. Step 6: Final answer
    x = 9,757.94

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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.