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Finding the Fourth Proportional to 19,681.80, 27,160.06 and 10,729.08

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Solution

The fourth proportional to 19,681.80, 27,160.06 and 10,729.08 is: 14,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.80 : 27,160.06 = 10,729.08 : x
  2. Step 2: Convert to fraction form
    19,681.80/27,160.06 = 10,729.08/x
  3. Step 3: Cross multiply
    19,681.80x = 27,160.06 × 10,729.08
  4. Step 4: Simplify right side
    19,681.80x = 291,402,456.54
  5. Step 5: Solve for x
    x = 291,402,456.54/19,681.80
  6. Step 6: Final answer
    x = 14,805.68

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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.