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Finding the Fourth Proportional to 1,477.41, 2,038.71 and 871.95

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Solution

The fourth proportional to 1,477.41, 2,038.71 and 871.95 is: 1,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.41 : 2,038.71 = 871.95 : x
  2. Step 2: Convert to fraction form
    1,477.41/2,038.71 = 871.95/x
  3. Step 3: Cross multiply
    1,477.41x = 2,038.71 × 871.95
  4. Step 4: Simplify right side
    1,477.41x = 1,777,653.18
  5. Step 5: Solve for x
    x = 1,777,653.18/1,477.41
  6. Step 6: Final answer
    x = 1,203.22

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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.