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Finding the Fourth Proportional to 6,477.16, 8,938.20 and 3,644.50

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Solution

The fourth proportional to 6,477.16, 8,938.20 and 3,644.50 is: 5,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.16 : 8,938.20 = 3,644.50 : x
  2. Step 2: Convert to fraction form
    6,477.16/8,938.20 = 3,644.50/x
  3. Step 3: Cross multiply
    6,477.16x = 8,938.20 × 3,644.50
  4. Step 4: Simplify right side
    6,477.16x = 32,575,269.90
  5. Step 5: Solve for x
    x = 32,575,269.90/6,477.16
  6. Step 6: Final answer
    x = 5,029.25

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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.