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Finding the Fourth Proportional to 14,364, 19,824.48 and 8,778.24

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Solution

The fourth proportional to 14,364, 19,824.48 and 8,778.24 is: 12,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 19,824.48 = 8,778.24 : x
  2. Step 2: Convert to fraction form
    14,364/19,824.48 = 8,778.24/x
  3. Step 3: Cross multiply
    14,364x = 19,824.48 × 8,778.24
  4. Step 4: Simplify right side
    14,364x = 174,024,043.32
  5. Step 5: Solve for x
    x = 174,024,043.32/14,364
  6. Step 6: Final answer
    x = 12,115.29

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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.