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Finding the Fourth Proportional to 13,803.20, 19,051.44 and 9,088

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Solution

The fourth proportional to 13,803.20, 19,051.44 and 9,088 is: 12,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.20 : 19,051.44 = 9,088 : x
  2. Step 2: Convert to fraction form
    13,803.20/19,051.44 = 9,088/x
  3. Step 3: Cross multiply
    13,803.20x = 19,051.44 × 9,088
  4. Step 4: Simplify right side
    13,803.20x = 173,139,486.72
  5. Step 5: Solve for x
    x = 173,139,486.72/13,803.20
  6. Step 6: Final answer
    x = 12,543.43

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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.