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Finding the Fourth Proportional to 2,117.88, 2,920.88 and 1,588

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Solution

The fourth proportional to 2,117.88, 2,920.88 and 1,588 is: 2,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.88 : 2,920.88 = 1,588 : x
  2. Step 2: Convert to fraction form
    2,117.88/2,920.88 = 1,588/x
  3. Step 3: Cross multiply
    2,117.88x = 2,920.88 × 1,588
  4. Step 4: Simplify right side
    2,117.88x = 4,638,357.44
  5. Step 5: Solve for x
    x = 4,638,357.44/2,117.88
  6. Step 6: Final answer
    x = 2,190.09

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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.