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Finding the Fourth Proportional to 2,521, 3,478.98 and 1,417

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Solution

The fourth proportional to 2,521, 3,478.98 and 1,417 is: 1,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521 : 3,478.98 = 1,417 : x
  2. Step 2: Convert to fraction form
    2,521/3,478.98 = 1,417/x
  3. Step 3: Cross multiply
    2,521x = 3,478.98 × 1,417
  4. Step 4: Simplify right side
    2,521x = 4,929,714.66
  5. Step 5: Solve for x
    x = 4,929,714.66/2,521
  6. Step 6: Final answer
    x = 1,955.46

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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.