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Finding the Fourth Proportional to 11,578, 15,985.32 and 7,169.68

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Solution

The fourth proportional to 11,578, 15,985.32 and 7,169.68 is: 9,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578 : 15,985.32 = 7,169.68 : x
  2. Step 2: Convert to fraction form
    11,578/15,985.32 = 7,169.68/x
  3. Step 3: Cross multiply
    11,578x = 15,985.32 × 7,169.68
  4. Step 4: Simplify right side
    11,578x = 114,609,629.10
  5. Step 5: Solve for x
    x = 114,609,629.10/11,578
  6. Step 6: Final answer
    x = 9,898.91

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1.5x scale

Why These Related Problems?

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