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Finding the Fourth Proportional to 8,954.34, 13,428 and 5,257.50

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Solution

The fourth proportional to 8,954.34, 13,428 and 5,257.50 is: 7,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.34 : 13,428 = 5,257.50 : x
  2. Step 2: Convert to fraction form
    8,954.34/13,428 = 5,257.50/x
  3. Step 3: Cross multiply
    8,954.34x = 13,428 × 5,257.50
  4. Step 4: Simplify right side
    8,954.34x = 70,597,710
  5. Step 5: Solve for x
    x = 70,597,710/8,954.34
  6. Step 6: Final answer
    x = 7,884.19

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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.