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Finding the Fourth Proportional to 6,460.57, 8,916.81 and 4,224.37

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Solution

The fourth proportional to 6,460.57, 8,916.81 and 4,224.37 is: 5,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.57 : 8,916.81 = 4,224.37 : x
  2. Step 2: Convert to fraction form
    6,460.57/8,916.81 = 4,224.37/x
  3. Step 3: Cross multiply
    6,460.57x = 8,916.81 × 4,224.37
  4. Step 4: Simplify right side
    6,460.57x = 37,667,904.66
  5. Step 5: Solve for x
    x = 37,667,904.66/6,460.57
  6. Step 6: Final answer
    x = 5,830.43

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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.