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Finding the Fourth Proportional to 27,580, 38,060.70 and 15,005.02

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Solution

The fourth proportional to 27,580, 38,060.70 and 15,005.02 is: 20,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580 : 38,060.70 = 15,005.02 : x
  2. Step 2: Convert to fraction form
    27,580/38,060.70 = 15,005.02/x
  3. Step 3: Cross multiply
    27,580x = 38,060.70 × 15,005.02
  4. Step 4: Simplify right side
    27,580x = 571,101,564.71
  5. Step 5: Solve for x
    x = 571,101,564.71/27,580
  6. Step 6: Final answer
    x = 20,707.09

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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.