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Finding the Fourth Proportional to 38,871.47, 53,642 and 21,643.67

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Solution

The fourth proportional to 38,871.47, 53,642 and 21,643.67 is: 29,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871.47 : 53,642 = 21,643.67 : x
  2. Step 2: Convert to fraction form
    38,871.47/53,642 = 21,643.67/x
  3. Step 3: Cross multiply
    38,871.47x = 53,642 × 21,643.67
  4. Step 4: Simplify right side
    38,871.47x = 1,161,009,746.14
  5. Step 5: Solve for x
    x = 1,161,009,746.14/38,871.47
  6. Step 6: Final answer
    x = 29,867.91

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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.