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Finding the Fourth Proportional to 6,411.78, 8,846.73 and 4,421.70

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Solution

The fourth proportional to 6,411.78, 8,846.73 and 4,421.70 is: 6,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.78 : 8,846.73 = 4,421.70 : x
  2. Step 2: Convert to fraction form
    6,411.78/8,846.73 = 4,421.70/x
  3. Step 3: Cross multiply
    6,411.78x = 8,846.73 × 4,421.70
  4. Step 4: Simplify right side
    6,411.78x = 39,117,586.04
  5. Step 5: Solve for x
    x = 39,117,586.04/6,411.78
  6. Step 6: Final answer
    x = 6,100.89

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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.