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Finding the Fourth Proportional to 13,261.98, 19,897.01 and 8,261.02

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Solution

The fourth proportional to 13,261.98, 19,897.01 and 8,261.02 is: 12,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.98 : 19,897.01 = 8,261.02 : x
  2. Step 2: Convert to fraction form
    13,261.98/19,897.01 = 8,261.02/x
  3. Step 3: Cross multiply
    13,261.98x = 19,897.01 × 8,261.02
  4. Step 4: Simplify right side
    13,261.98x = 164,369,597.55
  5. Step 5: Solve for x
    x = 164,369,597.55/13,261.98
  6. Step 6: Final answer
    x = 12,394.05

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1.5x scale

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.