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Finding the Fourth Proportional to 10,967.08, 15,130.74 and 7,609

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Solution

The fourth proportional to 10,967.08, 15,130.74 and 7,609 is: 10,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.08 : 15,130.74 = 7,609 : x
  2. Step 2: Convert to fraction form
    10,967.08/15,130.74 = 7,609/x
  3. Step 3: Cross multiply
    10,967.08x = 15,130.74 × 7,609
  4. Step 4: Simplify right side
    10,967.08x = 115,129,800.66
  5. Step 5: Solve for x
    x = 115,129,800.66/10,967.08
  6. Step 6: Final answer
    x = 10,497.76

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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.