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Finding the Fourth Proportional to 25,709.41, 35,478.75 and 14,378.77

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Solution

The fourth proportional to 25,709.41, 35,478.75 and 14,378.77 is: 19,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.41 : 35,478.75 = 14,378.77 : x
  2. Step 2: Convert to fraction form
    25,709.41/35,478.75 = 14,378.77/x
  3. Step 3: Cross multiply
    25,709.41x = 35,478.75 × 14,378.77
  4. Step 4: Simplify right side
    25,709.41x = 510,140,786.14
  5. Step 5: Solve for x
    x = 510,140,786.14/25,709.41
  6. Step 6: Final answer
    x = 19,842.57

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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.