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Finding the Fourth Proportional to 39,838.42, 54,978.51 and 21,935.40

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Solution

The fourth proportional to 39,838.42, 54,978.51 and 21,935.40 is: 30,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,838.42 : 54,978.51 = 21,935.40 : x
  2. Step 2: Convert to fraction form
    39,838.42/54,978.51 = 21,935.40/x
  3. Step 3: Cross multiply
    39,838.42x = 54,978.51 × 21,935.40
  4. Step 4: Simplify right side
    39,838.42x = 1,205,975,608.25
  5. Step 5: Solve for x
    x = 1,205,975,608.25/39,838.42
  6. Step 6: Final answer
    x = 30,271.67

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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.