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Finding the Fourth Proportional to 6,643.36, 9,158.24 and 4,647.68

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Solution

The fourth proportional to 6,643.36, 9,158.24 and 4,647.68 is: 6,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.36 : 9,158.24 = 4,647.68 : x
  2. Step 2: Convert to fraction form
    6,643.36/9,158.24 = 4,647.68/x
  3. Step 3: Cross multiply
    6,643.36x = 9,158.24 × 4,647.68
  4. Step 4: Simplify right side
    6,643.36x = 42,564,568.88
  5. Step 5: Solve for x
    x = 42,564,568.88/6,643.36
  6. Step 6: Final answer
    x = 6,407.08

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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.