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Finding the Fourth Proportional to 13,841.61, 19,101.42 and 8,539.50

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Solution

The fourth proportional to 13,841.61, 19,101.42 and 8,539.50 is: 11,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.61 : 19,101.42 = 8,539.50 : x
  2. Step 2: Convert to fraction form
    13,841.61/19,101.42 = 8,539.50/x
  3. Step 3: Cross multiply
    13,841.61x = 19,101.42 × 8,539.50
  4. Step 4: Simplify right side
    13,841.61x = 163,116,576.09
  5. Step 5: Solve for x
    x = 163,116,576.09/13,841.61
  6. Step 6: Final answer
    x = 11,784.51

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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.