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Finding the Fourth Proportional to 3,389.95, 4,678.10 and 1,897.88

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Solution

The fourth proportional to 3,389.95, 4,678.10 and 1,897.88 is: 2,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.95 : 4,678.10 = 1,897.88 : x
  2. Step 2: Convert to fraction form
    3,389.95/4,678.10 = 1,897.88/x
  3. Step 3: Cross multiply
    3,389.95x = 4,678.10 × 1,897.88
  4. Step 4: Simplify right side
    3,389.95x = 8,878,483.66
  5. Step 5: Solve for x
    x = 8,878,483.66/3,389.95
  6. Step 6: Final answer
    x = 2,619.06

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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.