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Finding the Fourth Proportional to 14,078.95, 19,428.94 and 7,705.54

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Solution

The fourth proportional to 14,078.95, 19,428.94 and 7,705.54 is: 10,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.95 : 19,428.94 = 7,705.54 : x
  2. Step 2: Convert to fraction form
    14,078.95/19,428.94 = 7,705.54/x
  3. Step 3: Cross multiply
    14,078.95x = 19,428.94 × 7,705.54
  4. Step 4: Simplify right side
    14,078.95x = 149,710,508.25
  5. Step 5: Solve for x
    x = 149,710,508.25/14,078.95
  6. Step 6: Final answer
    x = 10,633.64

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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.