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Finding the Fourth Proportional to 22,751.80, 31,416.88 and 14,268.20

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Solution

The fourth proportional to 22,751.80, 31,416.88 and 14,268.20 is: 19,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.80 : 31,416.88 = 14,268.20 : x
  2. Step 2: Convert to fraction form
    22,751.80/31,416.88 = 14,268.20/x
  3. Step 3: Cross multiply
    22,751.80x = 31,416.88 × 14,268.20
  4. Step 4: Simplify right side
    22,751.80x = 448,262,327.22
  5. Step 5: Solve for x
    x = 448,262,327.22/22,751.80
  6. Step 6: Final answer
    x = 19,702.28

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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.