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Finding the Fourth Proportional to 6,509.47, 8,983.01 and 3,858.14

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Solution

The fourth proportional to 6,509.47, 8,983.01 and 3,858.14 is: 5,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.47 : 8,983.01 = 3,858.14 : x
  2. Step 2: Convert to fraction form
    6,509.47/8,983.01 = 3,858.14/x
  3. Step 3: Cross multiply
    6,509.47x = 8,983.01 × 3,858.14
  4. Step 4: Simplify right side
    6,509.47x = 34,657,710.20
  5. Step 5: Solve for x
    x = 34,657,710.20/6,509.47
  6. Step 6: Final answer
    x = 5,324.20

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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.