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Finding the Fourth Proportional to 27,365, 37,763.64 and 15,428.25

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Solution

The fourth proportional to 27,365, 37,763.64 and 15,428.25 is: 21,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,365 : 37,763.64 = 15,428.25 : x
  2. Step 2: Convert to fraction form
    27,365/37,763.64 = 15,428.25/x
  3. Step 3: Cross multiply
    27,365x = 37,763.64 × 15,428.25
  4. Step 4: Simplify right side
    27,365x = 582,626,878.83
  5. Step 5: Solve for x
    x = 582,626,878.83/27,365
  6. Step 6: Final answer
    x = 21,290.95

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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.