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Finding the Fourth Proportional to 19,782.92, 27,302.61 and 12,613.10

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Solution

The fourth proportional to 19,782.92, 27,302.61 and 12,613.10 is: 17,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.92 : 27,302.61 = 12,613.10 : x
  2. Step 2: Convert to fraction form
    19,782.92/27,302.61 = 12,613.10/x
  3. Step 3: Cross multiply
    19,782.92x = 27,302.61 × 12,613.10
  4. Step 4: Simplify right side
    19,782.92x = 344,370,460.98
  5. Step 5: Solve for x
    x = 344,370,460.98/19,782.92
  6. Step 6: Final answer
    x = 17,407.46

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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.