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Finding the Fourth Proportional to 7,208.16, 9,947.30 and 4,224.02

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Solution

The fourth proportional to 7,208.16, 9,947.30 and 4,224.02 is: 5,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.16 : 9,947.30 = 4,224.02 : x
  2. Step 2: Convert to fraction form
    7,208.16/9,947.30 = 4,224.02/x
  3. Step 3: Cross multiply
    7,208.16x = 9,947.30 × 4,224.02
  4. Step 4: Simplify right side
    7,208.16x = 42,017,523.29
  5. Step 5: Solve for x
    x = 42,017,523.29/7,208.16
  6. Step 6: Final answer
    x = 5,829.16

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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.