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Finding the Fourth Proportional to 21,054.85, 31,573.03 and 7,897.99

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Solution

The fourth proportional to 21,054.85, 31,573.03 and 7,897.99 is: 11,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054.85 : 31,573.03 = 7,897.99 : x
  2. Step 2: Convert to fraction form
    21,054.85/31,573.03 = 7,897.99/x
  3. Step 3: Cross multiply
    21,054.85x = 31,573.03 × 7,897.99
  4. Step 4: Simplify right side
    21,054.85x = 249,363,572.63
  5. Step 5: Solve for x
    x = 249,363,572.63/21,054.85
  6. Step 6: Final answer
    x = 11,843.52

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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.