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Finding the Fourth Proportional to 8,283.50, 11,431.23 and 4,557.50

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Solution

The fourth proportional to 8,283.50, 11,431.23 and 4,557.50 is: 6,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.50 : 11,431.23 = 4,557.50 : x
  2. Step 2: Convert to fraction form
    8,283.50/11,431.23 = 4,557.50/x
  3. Step 3: Cross multiply
    8,283.50x = 11,431.23 × 4,557.50
  4. Step 4: Simplify right side
    8,283.50x = 52,097,830.73
  5. Step 5: Solve for x
    x = 52,097,830.73/8,283.50
  6. Step 6: Final answer
    x = 6,289.35

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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.