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Finding the Fourth Proportional to 11,376.57, 15,698.57 and 6,840.57

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Solution

The fourth proportional to 11,376.57, 15,698.57 and 6,840.57 is: 9,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.57 : 15,698.57 = 6,840.57 : x
  2. Step 2: Convert to fraction form
    11,376.57/15,698.57 = 6,840.57/x
  3. Step 3: Cross multiply
    11,376.57x = 15,698.57 × 6,840.57
  4. Step 4: Simplify right side
    11,376.57x = 107,387,132.78
  5. Step 5: Solve for x
    x = 107,387,132.78/11,376.57
  6. Step 6: Final answer
    x = 9,439.32

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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.