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Finding the Fourth Proportional to 10,970.40, 16,455.60 and 5,424.60

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Solution

The fourth proportional to 10,970.40, 16,455.60 and 5,424.60 is: 8,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.40 : 16,455.60 = 5,424.60 : x
  2. Step 2: Convert to fraction form
    10,970.40/16,455.60 = 5,424.60/x
  3. Step 3: Cross multiply
    10,970.40x = 16,455.60 × 5,424.60
  4. Step 4: Simplify right side
    10,970.40x = 89,265,047.76
  5. Step 5: Solve for x
    x = 89,265,047.76/10,970.40
  6. Step 6: Final answer
    x = 8,136.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.