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Finding the Fourth Proportional to 14,415.12, 19,893.72 and 8,827.20

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Solution

The fourth proportional to 14,415.12, 19,893.72 and 8,827.20 is: 12,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.12 : 19,893.72 = 8,827.20 : x
  2. Step 2: Convert to fraction form
    14,415.12/19,893.72 = 8,827.20/x
  3. Step 3: Cross multiply
    14,415.12x = 19,893.72 × 8,827.20
  4. Step 4: Simplify right side
    14,415.12x = 175,605,845.18
  5. Step 5: Solve for x
    x = 175,605,845.18/14,415.12
  6. Step 6: Final answer
    x = 12,182.06

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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.