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Finding the Fourth Proportional to 51,275.76, 76,920.48 and 17,988

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Solution

The fourth proportional to 51,275.76, 76,920.48 and 17,988 is: 26,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,275.76 : 76,920.48 = 17,988 : x
  2. Step 2: Convert to fraction form
    51,275.76/76,920.48 = 17,988/x
  3. Step 3: Cross multiply
    51,275.76x = 76,920.48 × 17,988
  4. Step 4: Simplify right side
    51,275.76x = 1,383,645,594.24
  5. Step 5: Solve for x
    x = 1,383,645,594.24/51,275.76
  6. Step 6: Final answer
    x = 26,984.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.