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Finding the Fourth Proportional to 14,427.50, 19,909.95 and 7,803.50

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Solution

The fourth proportional to 14,427.50, 19,909.95 and 7,803.50 is: 10,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.50 : 19,909.95 = 7,803.50 : x
  2. Step 2: Convert to fraction form
    14,427.50/19,909.95 = 7,803.50/x
  3. Step 3: Cross multiply
    14,427.50x = 19,909.95 × 7,803.50
  4. Step 4: Simplify right side
    14,427.50x = 155,367,294.83
  5. Step 5: Solve for x
    x = 155,367,294.83/14,427.50
  6. Step 6: Final answer
    x = 10,768.83

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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.