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Finding the Fourth Proportional to 6,380, 8,804.24 and 3,547.38

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Solution

The fourth proportional to 6,380, 8,804.24 and 3,547.38 is: 4,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380 : 8,804.24 = 3,547.38 : x
  2. Step 2: Convert to fraction form
    6,380/8,804.24 = 3,547.38/x
  3. Step 3: Cross multiply
    6,380x = 8,804.24 × 3,547.38
  4. Step 4: Simplify right side
    6,380x = 31,231,984.89
  5. Step 5: Solve for x
    x = 31,231,984.89/6,380
  6. Step 6: Final answer
    x = 4,895.30

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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.