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Finding the Fourth Proportional to 14,435.50, 19,921.05 and 7,811.50

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Solution

The fourth proportional to 14,435.50, 19,921.05 and 7,811.50 is: 10,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.50 : 19,921.05 = 7,811.50 : x
  2. Step 2: Convert to fraction form
    14,435.50/19,921.05 = 7,811.50/x
  3. Step 3: Cross multiply
    14,435.50x = 19,921.05 × 7,811.50
  4. Step 4: Simplify right side
    14,435.50x = 155,613,282.08
  5. Step 5: Solve for x
    x = 155,613,282.08/14,435.50
  6. Step 6: Final answer
    x = 10,779.90

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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.