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Finding the Fourth Proportional to 13,162.25, 19,746.80 and 3,928.25

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Solution

The fourth proportional to 13,162.25, 19,746.80 and 3,928.25 is: 5,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.25 : 19,746.80 = 3,928.25 : x
  2. Step 2: Convert to fraction form
    13,162.25/19,746.80 = 3,928.25/x
  3. Step 3: Cross multiply
    13,162.25x = 19,746.80 × 3,928.25
  4. Step 4: Simplify right side
    13,162.25x = 77,570,347.46
  5. Step 5: Solve for x
    x = 77,570,347.46/13,162.25
  6. Step 6: Final answer
    x = 5,893.40

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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.