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Finding the Fourth Proportional to 11,583, 15,986.57 and 6,867.59

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Solution

The fourth proportional to 11,583, 15,986.57 and 6,867.59 is: 9,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 15,986.57 = 6,867.59 : x
  2. Step 2: Convert to fraction form
    11,583/15,986.57 = 6,867.59/x
  3. Step 3: Cross multiply
    11,583x = 15,986.57 × 6,867.59
  4. Step 4: Simplify right side
    11,583x = 109,789,094.00
  5. Step 5: Solve for x
    x = 109,789,094.00/11,583
  6. Step 6: Final answer
    x = 9,478.47

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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.