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Finding the Fourth Proportional to 11,574.40, 15,972.24 and 6,858.40

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Solution

The fourth proportional to 11,574.40, 15,972.24 and 6,858.40 is: 9,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.40 : 15,972.24 = 6,858.40 : x
  2. Step 2: Convert to fraction form
    11,574.40/15,972.24 = 6,858.40/x
  3. Step 3: Cross multiply
    11,574.40x = 15,972.24 × 6,858.40
  4. Step 4: Simplify right side
    11,574.40x = 109,544,010.82
  5. Step 5: Solve for x
    x = 109,544,010.82/11,574.40
  6. Step 6: Final answer
    x = 9,464.34

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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.