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Finding the Fourth Proportional to 7,219, 10,772.63 and 6,441.40

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Solution

The fourth proportional to 7,219, 10,772.63 and 6,441.40 is: 9,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219 : 10,772.63 = 6,441.40 : x
  2. Step 2: Convert to fraction form
    7,219/10,772.63 = 6,441.40/x
  3. Step 3: Cross multiply
    7,219x = 10,772.63 × 6,441.40
  4. Step 4: Simplify right side
    7,219x = 69,390,818.88
  5. Step 5: Solve for x
    x = 69,390,818.88/7,219
  6. Step 6: Final answer
    x = 9,612.25

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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.