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Finding the Fourth Proportional to 12,031.20, 16,602.57 and 6,995.57

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Solution

The fourth proportional to 12,031.20, 16,602.57 and 6,995.57 is: 9,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.20 : 16,602.57 = 6,995.57 : x
  2. Step 2: Convert to fraction form
    12,031.20/16,602.57 = 6,995.57/x
  3. Step 3: Cross multiply
    12,031.20x = 16,602.57 × 6,995.57
  4. Step 4: Simplify right side
    12,031.20x = 116,144,357.60
  5. Step 5: Solve for x
    x = 116,144,357.60/12,031.20
  6. Step 6: Final answer
    x = 9,653.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.