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Finding the Fourth Proportional to 9,892.16, 14,829.60 and 8,440.64

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Solution

The fourth proportional to 9,892.16, 14,829.60 and 8,440.64 is: 12,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.16 : 14,829.60 = 8,440.64 : x
  2. Step 2: Convert to fraction form
    9,892.16/14,829.60 = 8,440.64/x
  3. Step 3: Cross multiply
    9,892.16x = 14,829.60 × 8,440.64
  4. Step 4: Simplify right side
    9,892.16x = 125,171,314.94
  5. Step 5: Solve for x
    x = 125,171,314.94/9,892.16
  6. Step 6: Final answer
    x = 12,653.59

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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.