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Finding the Fourth Proportional to 13,407.71, 18,499.64 and 8,101.53

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Solution

The fourth proportional to 13,407.71, 18,499.64 and 8,101.53 is: 11,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.71 : 18,499.64 = 8,101.53 : x
  2. Step 2: Convert to fraction form
    13,407.71/18,499.64 = 8,101.53/x
  3. Step 3: Cross multiply
    13,407.71x = 18,499.64 × 8,101.53
  4. Step 4: Simplify right side
    13,407.71x = 149,875,347.94
  5. Step 5: Solve for x
    x = 149,875,347.94/13,407.71
  6. Step 6: Final answer
    x = 11,178.30

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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.