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Finding the Fourth Proportional to 13,666.02, 18,869.22 and 8,368.08

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Solution

The fourth proportional to 13,666.02, 18,869.22 and 8,368.08 is: 11,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.02 : 18,869.22 = 8,368.08 : x
  2. Step 2: Convert to fraction form
    13,666.02/18,869.22 = 8,368.08/x
  3. Step 3: Cross multiply
    13,666.02x = 18,869.22 × 8,368.08
  4. Step 4: Simplify right side
    13,666.02x = 157,899,142.50
  5. Step 5: Solve for x
    x = 157,899,142.50/13,666.02
  6. Step 6: Final answer
    x = 11,554.14

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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.