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Finding the Fourth Proportional to 32,902.65, 45,406.05 and 19,978.25

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Solution

The fourth proportional to 32,902.65, 45,406.05 and 19,978.25 is: 27,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.65 : 45,406.05 = 19,978.25 : x
  2. Step 2: Convert to fraction form
    32,902.65/45,406.05 = 19,978.25/x
  3. Step 3: Cross multiply
    32,902.65x = 45,406.05 × 19,978.25
  4. Step 4: Simplify right side
    32,902.65x = 907,133,186.70
  5. Step 5: Solve for x
    x = 907,133,186.70/32,902.65
  6. Step 6: Final answer
    x = 27,570.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.