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Finding the Fourth Proportional to 1,836.90, 2,533.50 and 1,557.90

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Solution

The fourth proportional to 1,836.90, 2,533.50 and 1,557.90 is: 2,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.90 : 2,533.50 = 1,557.90 : x
  2. Step 2: Convert to fraction form
    1,836.90/2,533.50 = 1,557.90/x
  3. Step 3: Cross multiply
    1,836.90x = 2,533.50 × 1,557.90
  4. Step 4: Simplify right side
    1,836.90x = 3,946,939.65
  5. Step 5: Solve for x
    x = 3,946,939.65/1,836.90
  6. Step 6: Final answer
    x = 2,148.70

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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.