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Finding the Fourth Proportional to 12,313.70, 16,981.37 and 9,804.10

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Solution

The fourth proportional to 12,313.70, 16,981.37 and 9,804.10 is: 13,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.70 : 16,981.37 = 9,804.10 : x
  2. Step 2: Convert to fraction form
    12,313.70/16,981.37 = 9,804.10/x
  3. Step 3: Cross multiply
    12,313.70x = 16,981.37 × 9,804.10
  4. Step 4: Simplify right side
    12,313.70x = 166,486,964.71
  5. Step 5: Solve for x
    x = 166,486,964.71/12,313.70
  6. Step 6: Final answer
    x = 13,520.47

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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.