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Finding the Fourth Proportional to 14,427, 19,909.26 and 7,803

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Solution

The fourth proportional to 14,427, 19,909.26 and 7,803 is: 10,768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427 : 19,909.26 = 7,803 : x
  2. Step 2: Convert to fraction form
    14,427/19,909.26 = 7,803/x
  3. Step 3: Cross multiply
    14,427x = 19,909.26 × 7,803
  4. Step 4: Simplify right side
    14,427x = 155,351,955.78
  5. Step 5: Solve for x
    x = 155,351,955.78/14,427
  6. Step 6: Final answer
    x = 10,768.14

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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.