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Finding the Fourth Proportional to 13,649.53, 18,834.82 and 7,683.25

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Solution

The fourth proportional to 13,649.53, 18,834.82 and 7,683.25 is: 10,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.53 : 18,834.82 = 7,683.25 : x
  2. Step 2: Convert to fraction form
    13,649.53/18,834.82 = 7,683.25/x
  3. Step 3: Cross multiply
    13,649.53x = 18,834.82 × 7,683.25
  4. Step 4: Simplify right side
    13,649.53x = 144,712,630.77
  5. Step 5: Solve for x
    x = 144,712,630.77/13,649.53
  6. Step 6: Final answer
    x = 10,602.02

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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.