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Finding the Fourth Proportional to 8,302.78, 11,457.88 and 4,576.78

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Solution

The fourth proportional to 8,302.78, 11,457.88 and 4,576.78 is: 6,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.78 : 11,457.88 = 4,576.78 : x
  2. Step 2: Convert to fraction form
    8,302.78/11,457.88 = 4,576.78/x
  3. Step 3: Cross multiply
    8,302.78x = 11,457.88 × 4,576.78
  4. Step 4: Simplify right side
    8,302.78x = 52,440,196.03
  5. Step 5: Solve for x
    x = 52,440,196.03/8,302.78
  6. Step 6: Final answer
    x = 6,315.98

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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.