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Finding the Fourth Proportional to 12,715.95, 19,077.90 and 5,701.84

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Solution

The fourth proportional to 12,715.95, 19,077.90 and 5,701.84 is: 8,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.95 : 19,077.90 = 5,701.84 : x
  2. Step 2: Convert to fraction form
    12,715.95/19,077.90 = 5,701.84/x
  3. Step 3: Cross multiply
    12,715.95x = 19,077.90 × 5,701.84
  4. Step 4: Simplify right side
    12,715.95x = 108,779,133.34
  5. Step 5: Solve for x
    x = 108,779,133.34/12,715.95
  6. Step 6: Final answer
    x = 8,554.54

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