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Finding the Fourth Proportional to 25,384.50, 35,025.75 and 16,430.76

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Solution

The fourth proportional to 25,384.50, 35,025.75 and 16,430.76 is: 22,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.50 : 35,025.75 = 16,430.76 : x
  2. Step 2: Convert to fraction form
    25,384.50/35,025.75 = 16,430.76/x
  3. Step 3: Cross multiply
    25,384.50x = 35,025.75 × 16,430.76
  4. Step 4: Simplify right side
    25,384.50x = 575,499,692.07
  5. Step 5: Solve for x
    x = 575,499,692.07/25,384.50
  6. Step 6: Final answer
    x = 22,671.30

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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.