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Finding the Fourth Proportional to 6,457, 8,909.54 and 3,804.20

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Solution

The fourth proportional to 6,457, 8,909.54 and 3,804.20 is: 5,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 8,909.54 = 3,804.20 : x
  2. Step 2: Convert to fraction form
    6,457/8,909.54 = 3,804.20/x
  3. Step 3: Cross multiply
    6,457x = 8,909.54 × 3,804.20
  4. Step 4: Simplify right side
    6,457x = 33,893,672.07
  5. Step 5: Solve for x
    x = 33,893,672.07/6,457
  6. Step 6: Final answer
    x = 5,249.14

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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.