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Finding the Fourth Proportional to 8,664, 11,956.40 and 4,938.08

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Solution

The fourth proportional to 8,664, 11,956.40 and 4,938.08 is: 6,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664 : 11,956.40 = 4,938.08 : x
  2. Step 2: Convert to fraction form
    8,664/11,956.40 = 4,938.08/x
  3. Step 3: Cross multiply
    8,664x = 11,956.40 × 4,938.08
  4. Step 4: Simplify right side
    8,664x = 59,041,659.71
  5. Step 5: Solve for x
    x = 59,041,659.71/8,664
  6. Step 6: Final answer
    x = 6,814.60

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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.