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Finding the Fourth Proportional to 5,643.15, 8,424.32 and 4,905.24

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Solution

The fourth proportional to 5,643.15, 8,424.32 and 4,905.24 is: 7,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.15 : 8,424.32 = 4,905.24 : x
  2. Step 2: Convert to fraction form
    5,643.15/8,424.32 = 4,905.24/x
  3. Step 3: Cross multiply
    5,643.15x = 8,424.32 × 4,905.24
  4. Step 4: Simplify right side
    5,643.15x = 41,323,311.44
  5. Step 5: Solve for x
    x = 41,323,311.44/5,643.15
  6. Step 6: Final answer
    x = 7,322.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.