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Finding the Fourth Proportional to 4,330.40, 6,505.20 and 4,215.20

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Solution

The fourth proportional to 4,330.40, 6,505.20 and 4,215.20 is: 6,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.40 : 6,505.20 = 4,215.20 : x
  2. Step 2: Convert to fraction form
    4,330.40/6,505.20 = 4,215.20/x
  3. Step 3: Cross multiply
    4,330.40x = 6,505.20 × 4,215.20
  4. Step 4: Simplify right side
    4,330.40x = 27,420,719.04
  5. Step 5: Solve for x
    x = 27,420,719.04/4,330.40
  6. Step 6: Final answer
    x = 6,332.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.