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Finding the Fourth Proportional to 1,903.79, 2,627.05 and 1,064.38

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Solution

The fourth proportional to 1,903.79, 2,627.05 and 1,064.38 is: 1,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.79 : 2,627.05 = 1,064.38 : x
  2. Step 2: Convert to fraction form
    1,903.79/2,627.05 = 1,064.38/x
  3. Step 3: Cross multiply
    1,903.79x = 2,627.05 × 1,064.38
  4. Step 4: Simplify right side
    1,903.79x = 2,796,167.32
  5. Step 5: Solve for x
    x = 2,796,167.32/1,903.79
  6. Step 6: Final answer
    x = 1,468.74

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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.