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Finding the Fourth Proportional to 8,642.72, 11,913.36 and 7,592.96

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Solution

The fourth proportional to 8,642.72, 11,913.36 and 7,592.96 is: 10,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.72 : 11,913.36 = 7,592.96 : x
  2. Step 2: Convert to fraction form
    8,642.72/11,913.36 = 7,592.96/x
  3. Step 3: Cross multiply
    8,642.72x = 11,913.36 × 7,592.96
  4. Step 4: Simplify right side
    8,642.72x = 90,457,665.95
  5. Step 5: Solve for x
    x = 90,457,665.95/8,642.72
  6. Step 6: Final answer
    x = 10,466.34

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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.