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Finding the Fourth Proportional to 13,866.31, 19,135.48 and 7,897.98

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Solution

The fourth proportional to 13,866.31, 19,135.48 and 7,897.98 is: 10,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.31 : 19,135.48 = 7,897.98 : x
  2. Step 2: Convert to fraction form
    13,866.31/19,135.48 = 7,897.98/x
  3. Step 3: Cross multiply
    13,866.31x = 19,135.48 × 7,897.98
  4. Step 4: Simplify right side
    13,866.31x = 151,131,638.33
  5. Step 5: Solve for x
    x = 151,131,638.33/13,866.31
  6. Step 6: Final answer
    x = 10,899.20

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1.5x scale

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.