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Finding the Fourth Proportional to 3,613.76, 5,421 and 981.31

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Solution

The fourth proportional to 3,613.76, 5,421 and 981.31 is: 1,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.76 : 5,421 = 981.31 : x
  2. Step 2: Convert to fraction form
    3,613.76/5,421 = 981.31/x
  3. Step 3: Cross multiply
    3,613.76x = 5,421 × 981.31
  4. Step 4: Simplify right side
    3,613.76x = 5,319,681.51
  5. Step 5: Solve for x
    x = 5,319,681.51/3,613.76
  6. Step 6: Final answer
    x = 1,472.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.