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Finding the Fourth Proportional to 13,162.28, 19,746.65 and 9,274.28

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Solution

The fourth proportional to 13,162.28, 19,746.65 and 9,274.28 is: 13,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.28 : 19,746.65 = 9,274.28 : x
  2. Step 2: Convert to fraction form
    13,162.28/19,746.65 = 9,274.28/x
  3. Step 3: Cross multiply
    13,162.28x = 19,746.65 × 9,274.28
  4. Step 4: Simplify right side
    13,162.28x = 183,135,885.61
  5. Step 5: Solve for x
    x = 183,135,885.61/13,162.28
  6. Step 6: Final answer
    x = 13,913.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.