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Finding the Fourth Proportional to 9,778.38, 13,490.63 and 6,423

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Solution

The fourth proportional to 9,778.38, 13,490.63 and 6,423 is: 8,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.38 : 13,490.63 = 6,423 : x
  2. Step 2: Convert to fraction form
    9,778.38/13,490.63 = 6,423/x
  3. Step 3: Cross multiply
    9,778.38x = 13,490.63 × 6,423
  4. Step 4: Simplify right side
    9,778.38x = 86,650,308.46
  5. Step 5: Solve for x
    x = 86,650,308.46/9,778.38
  6. Step 6: Final answer
    x = 8,861.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.