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Finding the Fourth Proportional to 12,875.99, 19,309.11 and 5,945.63

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Solution

The fourth proportional to 12,875.99, 19,309.11 and 5,945.63 is: 8,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.99 : 19,309.11 = 5,945.63 : x
  2. Step 2: Convert to fraction form
    12,875.99/19,309.11 = 5,945.63/x
  3. Step 3: Cross multiply
    12,875.99x = 19,309.11 × 5,945.63
  4. Step 4: Simplify right side
    12,875.99x = 114,804,727.14
  5. Step 5: Solve for x
    x = 114,804,727.14/12,875.99
  6. Step 6: Final answer
    x = 8,916.19

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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.