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Finding the Fourth Proportional to 11,536.59, 15,920.16 and 6,500.72

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Solution

The fourth proportional to 11,536.59, 15,920.16 and 6,500.72 is: 8,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.59 : 15,920.16 = 6,500.72 : x
  2. Step 2: Convert to fraction form
    11,536.59/15,920.16 = 6,500.72/x
  3. Step 3: Cross multiply
    11,536.59x = 15,920.16 × 6,500.72
  4. Step 4: Simplify right side
    11,536.59x = 103,492,422.91
  5. Step 5: Solve for x
    x = 103,492,422.91/11,536.59
  6. Step 6: Final answer
    x = 8,970.80

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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.