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Finding the Fourth Proportional to 6,461.80, 8,918.62 and 4,224.04

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Solution

The fourth proportional to 6,461.80, 8,918.62 and 4,224.04 is: 5,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.80 : 8,918.62 = 4,224.04 : x
  2. Step 2: Convert to fraction form
    6,461.80/8,918.62 = 4,224.04/x
  3. Step 3: Cross multiply
    6,461.80x = 8,918.62 × 4,224.04
  4. Step 4: Simplify right side
    6,461.80x = 37,672,607.62
  5. Step 5: Solve for x
    x = 37,672,607.62/6,461.80
  6. Step 6: Final answer
    x = 5,830.05

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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.