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Finding the Fourth Proportional to 10,466.40, 15,699.60 and 8,738.40

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Solution

The fourth proportional to 10,466.40, 15,699.60 and 8,738.40 is: 13,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.40 : 15,699.60 = 8,738.40 : x
  2. Step 2: Convert to fraction form
    10,466.40/15,699.60 = 8,738.40/x
  3. Step 3: Cross multiply
    10,466.40x = 15,699.60 × 8,738.40
  4. Step 4: Simplify right side
    10,466.40x = 137,189,384.64
  5. Step 5: Solve for x
    x = 137,189,384.64/10,466.40
  6. Step 6: Final answer
    x = 13,107.60

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1.5x scale

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.