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Finding the Fourth Proportional to 21,053.04, 31,545 and 7,194.48

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Solution

The fourth proportional to 21,053.04, 31,545 and 7,194.48 is: 10,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.04 : 31,545 = 7,194.48 : x
  2. Step 2: Convert to fraction form
    21,053.04/31,545 = 7,194.48/x
  3. Step 3: Cross multiply
    21,053.04x = 31,545 × 7,194.48
  4. Step 4: Simplify right side
    21,053.04x = 226,949,871.60
  5. Step 5: Solve for x
    x = 226,949,871.60/21,053.04
  6. Step 6: Final answer
    x = 10,779.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.