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Finding the Fourth Proportional to 19,681.12, 27,162.84 and 12,965.68

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Solution

The fourth proportional to 19,681.12, 27,162.84 and 12,965.68 is: 17,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.12 : 27,162.84 = 12,965.68 : x
  2. Step 2: Convert to fraction form
    19,681.12/27,162.84 = 12,965.68/x
  3. Step 3: Cross multiply
    19,681.12x = 27,162.84 × 12,965.68
  4. Step 4: Simplify right side
    19,681.12x = 352,184,691.33
  5. Step 5: Solve for x
    x = 352,184,691.33/19,681.12
  6. Step 6: Final answer
    x = 17,894.55

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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.