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Finding the Fourth Proportional to 1,937.26, 2,905.53 and 897.18

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Solution

The fourth proportional to 1,937.26, 2,905.53 and 897.18 is: 1,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.26 : 2,905.53 = 897.18 : x
  2. Step 2: Convert to fraction form
    1,937.26/2,905.53 = 897.18/x
  3. Step 3: Cross multiply
    1,937.26x = 2,905.53 × 897.18
  4. Step 4: Simplify right side
    1,937.26x = 2,606,783.41
  5. Step 5: Solve for x
    x = 2,606,783.41/1,937.26
  6. Step 6: Final answer
    x = 1,345.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.