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Finding the Fourth Proportional to 6,441.60, 9,653.04 and 6,288.24

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Solution

The fourth proportional to 6,441.60, 9,653.04 and 6,288.24 is: 9,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.60 : 9,653.04 = 6,288.24 : x
  2. Step 2: Convert to fraction form
    6,441.60/9,653.04 = 6,288.24/x
  3. Step 3: Cross multiply
    6,441.60x = 9,653.04 × 6,288.24
  4. Step 4: Simplify right side
    6,441.60x = 60,700,632.25
  5. Step 5: Solve for x
    x = 60,700,632.25/6,441.60
  6. Step 6: Final answer
    x = 9,423.22

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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.