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Finding the Fourth Proportional to 14,077.74, 19,427.12 and 7,790.16

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Solution

The fourth proportional to 14,077.74, 19,427.12 and 7,790.16 is: 10,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.74 : 19,427.12 = 7,790.16 : x
  2. Step 2: Convert to fraction form
    14,077.74/19,427.12 = 7,790.16/x
  3. Step 3: Cross multiply
    14,077.74x = 19,427.12 × 7,790.16
  4. Step 4: Simplify right side
    14,077.74x = 151,340,373.14
  5. Step 5: Solve for x
    x = 151,340,373.14/14,077.74
  6. Step 6: Final answer
    x = 10,750.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.