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Finding the Fourth Proportional to 11,256.80, 15,536.30 and 6,543.81

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Solution

The fourth proportional to 11,256.80, 15,536.30 and 6,543.81 is: 9,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.80 : 15,536.30 = 6,543.81 : x
  2. Step 2: Convert to fraction form
    11,256.80/15,536.30 = 6,543.81/x
  3. Step 3: Cross multiply
    11,256.80x = 15,536.30 × 6,543.81
  4. Step 4: Simplify right side
    11,256.80x = 101,666,562.58
  5. Step 5: Solve for x
    x = 101,666,562.58/11,256.80
  6. Step 6: Final answer
    x = 9,031.57

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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.