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Finding the Fourth Proportional to 11,583, 15,977.46 and 6,864.12

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Solution

The fourth proportional to 11,583, 15,977.46 and 6,864.12 is: 9,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 15,977.46 = 6,864.12 : x
  2. Step 2: Convert to fraction form
    11,583/15,977.46 = 6,864.12/x
  3. Step 3: Cross multiply
    11,583x = 15,977.46 × 6,864.12
  4. Step 4: Simplify right side
    11,583x = 109,671,202.74
  5. Step 5: Solve for x
    x = 109,671,202.74/11,583
  6. Step 6: Final answer
    x = 9,468.29

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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.