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Finding the Fourth Proportional to 13,779.72, 19,016.64 and 7,811.28

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Solution

The fourth proportional to 13,779.72, 19,016.64 and 7,811.28 is: 10,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779.72 : 19,016.64 = 7,811.28 : x
  2. Step 2: Convert to fraction form
    13,779.72/19,016.64 = 7,811.28/x
  3. Step 3: Cross multiply
    13,779.72x = 19,016.64 × 7,811.28
  4. Step 4: Simplify right side
    13,779.72x = 148,544,299.70
  5. Step 5: Solve for x
    x = 148,544,299.70/13,779.72
  6. Step 6: Final answer
    x = 10,779.92

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1.5x scale

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.