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Finding the Fourth Proportional to 38,784, 53,521.92 and 21,120

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Solution

The fourth proportional to 38,784, 53,521.92 and 21,120 is: 29,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,784 : 53,521.92 = 21,120 : x
  2. Step 2: Convert to fraction form
    38,784/53,521.92 = 21,120/x
  3. Step 3: Cross multiply
    38,784x = 53,521.92 × 21,120
  4. Step 4: Simplify right side
    38,784x = 1,130,382,950.40
  5. Step 5: Solve for x
    x = 1,130,382,950.40/38,784
  6. Step 6: Final answer
    x = 29,145.60

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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.