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Finding the Fourth Proportional to 1,503.63, 2,076.44 and 1,421.82

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Solution

The fourth proportional to 1,503.63, 2,076.44 and 1,421.82 is: 1,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.63 : 2,076.44 = 1,421.82 : x
  2. Step 2: Convert to fraction form
    1,503.63/2,076.44 = 1,421.82/x
  3. Step 3: Cross multiply
    1,503.63x = 2,076.44 × 1,421.82
  4. Step 4: Simplify right side
    1,503.63x = 2,952,316.81
  5. Step 5: Solve for x
    x = 2,952,316.81/1,503.63
  6. Step 6: Final answer
    x = 1,963.46

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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.