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Finding the Fourth Proportional to 38,442.71, 53,051.34 and 21,448.50

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Solution

The fourth proportional to 38,442.71, 53,051.34 and 21,448.50 is: 29,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.71 : 53,051.34 = 21,448.50 : x
  2. Step 2: Convert to fraction form
    38,442.71/53,051.34 = 21,448.50/x
  3. Step 3: Cross multiply
    38,442.71x = 53,051.34 × 21,448.50
  4. Step 4: Simplify right side
    38,442.71x = 1,137,871,665.99
  5. Step 5: Solve for x
    x = 1,137,871,665.99/38,442.71
  6. Step 6: Final answer
    x = 29,599.16

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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.