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Finding the Fourth Proportional to 10,692.60, 16,017.30 and 7,409.40

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Solution

The fourth proportional to 10,692.60, 16,017.30 and 7,409.40 is: 11,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.60 : 16,017.30 = 7,409.40 : x
  2. Step 2: Convert to fraction form
    10,692.60/16,017.30 = 7,409.40/x
  3. Step 3: Cross multiply
    10,692.60x = 16,017.30 × 7,409.40
  4. Step 4: Simplify right side
    10,692.60x = 118,678,582.62
  5. Step 5: Solve for x
    x = 118,678,582.62/10,692.60
  6. Step 6: Final answer
    x = 11,099.13

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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.