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Finding the Fourth Proportional to 6,372, 9,559.08 and 1,988.58

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Solution

The fourth proportional to 6,372, 9,559.08 and 1,988.58 is: 2,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372 : 9,559.08 = 1,988.58 : x
  2. Step 2: Convert to fraction form
    6,372/9,559.08 = 1,988.58/x
  3. Step 3: Cross multiply
    6,372x = 9,559.08 × 1,988.58
  4. Step 4: Simplify right side
    6,372x = 19,009,031.15
  5. Step 5: Solve for x
    x = 19,009,031.15/6,372
  6. Step 6: Final answer
    x = 2,983.21

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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.