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Finding the Fourth Proportional to 27,736.40, 38,273.64 and 15,802.40

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Solution

The fourth proportional to 27,736.40, 38,273.64 and 15,802.40 is: 21,805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736.40 : 38,273.64 = 15,802.40 : x
  2. Step 2: Convert to fraction form
    27,736.40/38,273.64 = 15,802.40/x
  3. Step 3: Cross multiply
    27,736.40x = 38,273.64 × 15,802.40
  4. Step 4: Simplify right side
    27,736.40x = 604,815,368.74
  5. Step 5: Solve for x
    x = 604,815,368.74/27,736.40
  6. Step 6: Final answer
    x = 21,805.84

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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.