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Finding the Fourth Proportional to 19,798.92, 27,312.16 and 12,242.84

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Solution

The fourth proportional to 19,798.92, 27,312.16 and 12,242.84 is: 16,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.92 : 27,312.16 = 12,242.84 : x
  2. Step 2: Convert to fraction form
    19,798.92/27,312.16 = 12,242.84/x
  3. Step 3: Cross multiply
    19,798.92x = 27,312.16 × 12,242.84
  4. Step 4: Simplify right side
    19,798.92x = 334,378,404.93
  5. Step 5: Solve for x
    x = 334,378,404.93/19,798.92
  6. Step 6: Final answer
    x = 16,888.72

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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.