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Finding the Fourth Proportional to 7,210.68, 9,945.90 and 5,643.96

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Solution

The fourth proportional to 7,210.68, 9,945.90 and 5,643.96 is: 7,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.68 : 9,945.90 = 5,643.96 : x
  2. Step 2: Convert to fraction form
    7,210.68/9,945.90 = 5,643.96/x
  3. Step 3: Cross multiply
    7,210.68x = 9,945.90 × 5,643.96
  4. Step 4: Simplify right side
    7,210.68x = 56,134,261.76
  5. Step 5: Solve for x
    x = 56,134,261.76/7,210.68
  6. Step 6: Final answer
    x = 7,784.88

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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.