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Finding the Fourth Proportional to 7,283.54, 10,915.14 and 6,403.88

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Solution

The fourth proportional to 7,283.54, 10,915.14 and 6,403.88 is: 9,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.54 : 10,915.14 = 6,403.88 : x
  2. Step 2: Convert to fraction form
    7,283.54/10,915.14 = 6,403.88/x
  3. Step 3: Cross multiply
    7,283.54x = 10,915.14 × 6,403.88
  4. Step 4: Simplify right side
    7,283.54x = 69,899,246.74
  5. Step 5: Solve for x
    x = 69,899,246.74/7,283.54
  6. Step 6: Final answer
    x = 9,596.88

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1.5x scale

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.