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Finding the Fourth Proportional to 21,482, 32,224.08 and 7,632.08

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Solution

The fourth proportional to 21,482, 32,224.08 and 7,632.08 is: 11,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482 : 32,224.08 = 7,632.08 : x
  2. Step 2: Convert to fraction form
    21,482/32,224.08 = 7,632.08/x
  3. Step 3: Cross multiply
    21,482x = 32,224.08 × 7,632.08
  4. Step 4: Simplify right side
    21,482x = 245,936,756.49
  5. Step 5: Solve for x
    x = 245,936,756.49/21,482
  6. Step 6: Final answer
    x = 11,448.50

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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.