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Finding the Fourth Proportional to 12,312.87, 16,991.28 and 6,935.19

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Solution

The fourth proportional to 12,312.87, 16,991.28 and 6,935.19 is: 9,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.87 : 16,991.28 = 6,935.19 : x
  2. Step 2: Convert to fraction form
    12,312.87/16,991.28 = 6,935.19/x
  3. Step 3: Cross multiply
    12,312.87x = 16,991.28 × 6,935.19
  4. Step 4: Simplify right side
    12,312.87x = 117,837,755.14
  5. Step 5: Solve for x
    x = 117,837,755.14/12,312.87
  6. Step 6: Final answer
    x = 9,570.29

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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.