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Finding the Fourth Proportional to 8,420.65, 11,621.16 and 4,644.16

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Solution

The fourth proportional to 8,420.65, 11,621.16 and 4,644.16 is: 6,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.65 : 11,621.16 = 4,644.16 : x
  2. Step 2: Convert to fraction form
    8,420.65/11,621.16 = 4,644.16/x
  3. Step 3: Cross multiply
    8,420.65x = 11,621.16 × 4,644.16
  4. Step 4: Simplify right side
    8,420.65x = 53,970,445.10
  5. Step 5: Solve for x
    x = 53,970,445.10/8,420.65
  6. Step 6: Final answer
    x = 6,409.30

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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.