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Finding the Fourth Proportional to 9,640.32, 14,447.84 and 5,482.24

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Solution

The fourth proportional to 9,640.32, 14,447.84 and 5,482.24 is: 8,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.32 : 14,447.84 = 5,482.24 : x
  2. Step 2: Convert to fraction form
    9,640.32/14,447.84 = 5,482.24/x
  3. Step 3: Cross multiply
    9,640.32x = 14,447.84 × 5,482.24
  4. Step 4: Simplify right side
    9,640.32x = 79,206,526.36
  5. Step 5: Solve for x
    x = 79,206,526.36/9,640.32
  6. Step 6: Final answer
    x = 8,216.17

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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.