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Finding the Fourth Proportional to 13,913.86, 19,200.86 and 8,607.28

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Solution

The fourth proportional to 13,913.86, 19,200.86 and 8,607.28 is: 11,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.86 : 19,200.86 = 8,607.28 : x
  2. Step 2: Convert to fraction form
    13,913.86/19,200.86 = 8,607.28/x
  3. Step 3: Cross multiply
    13,913.86x = 19,200.86 × 8,607.28
  4. Step 4: Simplify right side
    13,913.86x = 165,267,178.26
  5. Step 5: Solve for x
    x = 165,267,178.26/13,913.86
  6. Step 6: Final answer
    x = 11,877.88

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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.