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Finding the Fourth Proportional to 2,053.74, 2,832.90 and 1,390.74

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Solution

The fourth proportional to 2,053.74, 2,832.90 and 1,390.74 is: 1,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.74 : 2,832.90 = 1,390.74 : x
  2. Step 2: Convert to fraction form
    2,053.74/2,832.90 = 1,390.74/x
  3. Step 3: Cross multiply
    2,053.74x = 2,832.90 × 1,390.74
  4. Step 4: Simplify right side
    2,053.74x = 3,939,827.35
  5. Step 5: Solve for x
    x = 3,939,827.35/2,053.74
  6. Step 6: Final answer
    x = 1,918.37

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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.