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Finding the Fourth Proportional to 38,724, 53,438.76 and 21,957

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Solution

The fourth proportional to 38,724, 53,438.76 and 21,957 is: 30,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,724 : 53,438.76 = 21,957 : x
  2. Step 2: Convert to fraction form
    38,724/53,438.76 = 21,957/x
  3. Step 3: Cross multiply
    38,724x = 53,438.76 × 21,957
  4. Step 4: Simplify right side
    38,724x = 1,173,354,853.32
  5. Step 5: Solve for x
    x = 1,173,354,853.32/38,724
  6. Step 6: Final answer
    x = 30,300.46

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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.