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Finding the Fourth Proportional to 13,803.84, 20,700.96 and 12,918.10

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Solution

The fourth proportional to 13,803.84, 20,700.96 and 12,918.10 is: 19,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.84 : 20,700.96 = 12,918.10 : x
  2. Step 2: Convert to fraction form
    13,803.84/20,700.96 = 12,918.10/x
  3. Step 3: Cross multiply
    13,803.84x = 20,700.96 × 12,918.10
  4. Step 4: Simplify right side
    13,803.84x = 267,417,071.38
  5. Step 5: Solve for x
    x = 267,417,071.38/13,803.84
  6. Step 6: Final answer
    x = 19,372.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.