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Finding the Fourth Proportional to 27,298, 37,670.33 and 15,360.63

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Solution

The fourth proportional to 27,298, 37,670.33 and 15,360.63 is: 21,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,298 : 37,670.33 = 15,360.63 : x
  2. Step 2: Convert to fraction form
    27,298/37,670.33 = 15,360.63/x
  3. Step 3: Cross multiply
    27,298x = 37,670.33 × 15,360.63
  4. Step 4: Simplify right side
    27,298x = 578,640,001.11
  5. Step 5: Solve for x
    x = 578,640,001.11/27,298
  6. Step 6: Final answer
    x = 21,197.16

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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.