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Finding the Fourth Proportional to 7,219.64, 9,965.18 and 4,235.60

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Solution

The fourth proportional to 7,219.64, 9,965.18 and 4,235.60 is: 5,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.64 : 9,965.18 = 4,235.60 : x
  2. Step 2: Convert to fraction form
    7,219.64/9,965.18 = 4,235.60/x
  3. Step 3: Cross multiply
    7,219.64x = 9,965.18 × 4,235.60
  4. Step 4: Simplify right side
    7,219.64x = 42,208,516.41
  5. Step 5: Solve for x
    x = 42,208,516.41/7,219.64
  6. Step 6: Final answer
    x = 5,846.35

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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.