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Finding the Fourth Proportional to 7,643.80, 10,548.12 and 4,457.24

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Solution

The fourth proportional to 7,643.80, 10,548.12 and 4,457.24 is: 6,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.80 : 10,548.12 = 4,457.24 : x
  2. Step 2: Convert to fraction form
    7,643.80/10,548.12 = 4,457.24/x
  3. Step 3: Cross multiply
    7,643.80x = 10,548.12 × 4,457.24
  4. Step 4: Simplify right side
    7,643.80x = 47,015,502.39
  5. Step 5: Solve for x
    x = 47,015,502.39/7,643.80
  6. Step 6: Final answer
    x = 6,150.80

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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.