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Finding the Fourth Proportional to 11,490.64, 15,862.98 and 6,776.44

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Solution

The fourth proportional to 11,490.64, 15,862.98 and 6,776.44 is: 9,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.64 : 15,862.98 = 6,776.44 : x
  2. Step 2: Convert to fraction form
    11,490.64/15,862.98 = 6,776.44/x
  3. Step 3: Cross multiply
    11,490.64x = 15,862.98 × 6,776.44
  4. Step 4: Simplify right side
    11,490.64x = 107,494,532.19
  5. Step 5: Solve for x
    x = 107,494,532.19/11,490.64
  6. Step 6: Final answer
    x = 9,354.96

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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.