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Finding the Fourth Proportional to 8,572, 11,829.84 and 4,846.24

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Solution

The fourth proportional to 8,572, 11,829.84 and 4,846.24 is: 6,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572 : 11,829.84 = 4,846.24 : x
  2. Step 2: Convert to fraction form
    8,572/11,829.84 = 4,846.24/x
  3. Step 3: Cross multiply
    8,572x = 11,829.84 × 4,846.24
  4. Step 4: Simplify right side
    8,572x = 57,330,243.80
  5. Step 5: Solve for x
    x = 57,330,243.80/8,572
  6. Step 6: Final answer
    x = 6,688.08

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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.