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Finding the Fourth Proportional to 11,564, 15,958.36 and 6,258.86

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Solution

The fourth proportional to 11,564, 15,958.36 and 6,258.86 is: 8,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564 : 15,958.36 = 6,258.86 : x
  2. Step 2: Convert to fraction form
    11,564/15,958.36 = 6,258.86/x
  3. Step 3: Cross multiply
    11,564x = 15,958.36 × 6,258.86
  4. Step 4: Simplify right side
    11,564x = 99,881,141.07
  5. Step 5: Solve for x
    x = 99,881,141.07/11,564
  6. Step 6: Final answer
    x = 8,637.25

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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.