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Finding the Fourth Proportional to 11,486.53, 15,858.75 and 8,964.19

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Solution

The fourth proportional to 11,486.53, 15,858.75 and 8,964.19 is: 12,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.53 : 15,858.75 = 8,964.19 : x
  2. Step 2: Convert to fraction form
    11,486.53/15,858.75 = 8,964.19/x
  3. Step 3: Cross multiply
    11,486.53x = 15,858.75 × 8,964.19
  4. Step 4: Simplify right side
    11,486.53x = 142,160,848.16
  5. Step 5: Solve for x
    x = 142,160,848.16/11,486.53
  6. Step 6: Final answer
    x = 12,376.31

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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.