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Finding the Fourth Proportional to 27,970.78, 38,580.02 and 18,407.61

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Solution

The fourth proportional to 27,970.78, 38,580.02 and 18,407.61 is: 25,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.78 : 38,580.02 = 18,407.61 : x
  2. Step 2: Convert to fraction form
    27,970.78/38,580.02 = 18,407.61/x
  3. Step 3: Cross multiply
    27,970.78x = 38,580.02 × 18,407.61
  4. Step 4: Simplify right side
    27,970.78x = 710,165,961.95
  5. Step 5: Solve for x
    x = 710,165,961.95/27,970.78
  6. Step 6: Final answer
    x = 25,389.57

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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.