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Finding the Fourth Proportional to 12,969, 17,895.60 and 7,302.96

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Solution

The fourth proportional to 12,969, 17,895.60 and 7,302.96 is: 10,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 17,895.60 = 7,302.96 : x
  2. Step 2: Convert to fraction form
    12,969/17,895.60 = 7,302.96/x
  3. Step 3: Cross multiply
    12,969x = 17,895.60 × 7,302.96
  4. Step 4: Simplify right side
    12,969x = 130,690,850.98
  5. Step 5: Solve for x
    x = 130,690,850.98/12,969
  6. Step 6: Final answer
    x = 10,077.17

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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.