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Finding the Fourth Proportional to 10,790.40, 14,880 and 7,608.32

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Solution

The fourth proportional to 10,790.40, 14,880 and 7,608.32 is: 10,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.40 : 14,880 = 7,608.32 : x
  2. Step 2: Convert to fraction form
    10,790.40/14,880 = 7,608.32/x
  3. Step 3: Cross multiply
    10,790.40x = 14,880 × 7,608.32
  4. Step 4: Simplify right side
    10,790.40x = 113,211,801.60
  5. Step 5: Solve for x
    x = 113,211,801.60/10,790.40
  6. Step 6: Final answer
    x = 10,491.90

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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.