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Finding the Fourth Proportional to 38,666, 53,359.08 and 21,902.24

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Solution

The fourth proportional to 38,666, 53,359.08 and 21,902.24 is: 30,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666 : 53,359.08 = 21,902.24 : x
  2. Step 2: Convert to fraction form
    38,666/53,359.08 = 21,902.24/x
  3. Step 3: Cross multiply
    38,666x = 53,359.08 × 21,902.24
  4. Step 4: Simplify right side
    38,666x = 1,168,683,376.34
  5. Step 5: Solve for x
    x = 1,168,683,376.34/38,666
  6. Step 6: Final answer
    x = 30,225.09

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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.