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Finding the Fourth Proportional to 14,772.64, 20,375.72 and 14,284.48

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Solution

The fourth proportional to 14,772.64, 20,375.72 and 14,284.48 is: 19,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.64 : 20,375.72 = 14,284.48 : x
  2. Step 2: Convert to fraction form
    14,772.64/20,375.72 = 14,284.48/x
  3. Step 3: Cross multiply
    14,772.64x = 20,375.72 × 14,284.48
  4. Step 4: Simplify right side
    14,772.64x = 291,056,564.83
  5. Step 5: Solve for x
    x = 291,056,564.83/14,772.64
  6. Step 6: Final answer
    x = 19,702.41

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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.