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Finding the Fourth Proportional to 10,720.69, 16,063.27 and 7,585.16

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Solution

The fourth proportional to 10,720.69, 16,063.27 and 7,585.16 is: 11,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.69 : 16,063.27 = 7,585.16 : x
  2. Step 2: Convert to fraction form
    10,720.69/16,063.27 = 7,585.16/x
  3. Step 3: Cross multiply
    10,720.69x = 16,063.27 × 7,585.16
  4. Step 4: Simplify right side
    10,720.69x = 121,842,373.79
  5. Step 5: Solve for x
    x = 121,842,373.79/10,720.69
  6. Step 6: Final answer
    x = 11,365.16

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