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Finding the Fourth Proportional to 27,120, 37,415.16 and 17,044.32

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Solution

The fourth proportional to 27,120, 37,415.16 and 17,044.32 is: 23,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120 : 37,415.16 = 17,044.32 : x
  2. Step 2: Convert to fraction form
    27,120/37,415.16 = 17,044.32/x
  3. Step 3: Cross multiply
    27,120x = 37,415.16 × 17,044.32
  4. Step 4: Simplify right side
    27,120x = 637,715,959.89
  5. Step 5: Solve for x
    x = 637,715,959.89/27,120
  6. Step 6: Final answer
    x = 23,514.60

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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.