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Finding the Fourth Proportional to 13,649.73, 18,835.09 and 7,681.27

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Solution

The fourth proportional to 13,649.73, 18,835.09 and 7,681.27 is: 10,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.73 : 18,835.09 = 7,681.27 : x
  2. Step 2: Convert to fraction form
    13,649.73/18,835.09 = 7,681.27/x
  3. Step 3: Cross multiply
    13,649.73x = 18,835.09 × 7,681.27
  4. Step 4: Simplify right side
    13,649.73x = 144,677,411.76
  5. Step 5: Solve for x
    x = 144,677,411.76/13,649.73
  6. Step 6: Final answer
    x = 10,599.29

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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.