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Finding the Fourth Proportional to 3,490.84, 4,817.36 and 1,897.48

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Solution

The fourth proportional to 3,490.84, 4,817.36 and 1,897.48 is: 2,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.84 : 4,817.36 = 1,897.48 : x
  2. Step 2: Convert to fraction form
    3,490.84/4,817.36 = 1,897.48/x
  3. Step 3: Cross multiply
    3,490.84x = 4,817.36 × 1,897.48
  4. Step 4: Simplify right side
    3,490.84x = 9,140,810.68
  5. Step 5: Solve for x
    x = 9,140,810.68/3,490.84
  6. Step 6: Final answer
    x = 2,618.52

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1.5x scale

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.