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Finding the Fourth Proportional to 8,912.54, 13,381.95 and 4,971.50

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Solution

The fourth proportional to 8,912.54, 13,381.95 and 4,971.50 is: 7,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.54 : 13,381.95 = 4,971.50 : x
  2. Step 2: Convert to fraction form
    8,912.54/13,381.95 = 4,971.50/x
  3. Step 3: Cross multiply
    8,912.54x = 13,381.95 × 4,971.50
  4. Step 4: Simplify right side
    8,912.54x = 66,528,344.47
  5. Step 5: Solve for x
    x = 66,528,344.47/8,912.54
  6. Step 6: Final answer
    x = 7,464.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.