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Finding the Fourth Proportional to 20,653.04, 30,971.80 and 7,502.16

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Solution

The fourth proportional to 20,653.04, 30,971.80 and 7,502.16 is: 11,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.04 : 30,971.80 = 7,502.16 : x
  2. Step 2: Convert to fraction form
    20,653.04/30,971.80 = 7,502.16/x
  3. Step 3: Cross multiply
    20,653.04x = 30,971.80 × 7,502.16
  4. Step 4: Simplify right side
    20,653.04x = 232,355,399.09
  5. Step 5: Solve for x
    x = 232,355,399.09/20,653.04
  6. Step 6: Final answer
    x = 11,250.42

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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.