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Finding the Fourth Proportional to 3,460, 4,774.80 and 1,988

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Solution

The fourth proportional to 3,460, 4,774.80 and 1,988 is: 2,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460 : 4,774.80 = 1,988 : x
  2. Step 2: Convert to fraction form
    3,460/4,774.80 = 1,988/x
  3. Step 3: Cross multiply
    3,460x = 4,774.80 × 1,988
  4. Step 4: Simplify right side
    3,460x = 9,492,302.40
  5. Step 5: Solve for x
    x = 9,492,302.40/3,460
  6. Step 6: Final answer
    x = 2,743.44

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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.