Home / 12,964-19,456.38-5,947.32

Finding the Fourth Proportional to 12,964, 19,456.38 and 5,947.32

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Solution

The fourth proportional to 12,964, 19,456.38 and 5,947.32 is: 8,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 19,456.38 = 5,947.32 : x
  2. Step 2: Convert to fraction form
    12,964/19,456.38 = 5,947.32/x
  3. Step 3: Cross multiply
    12,964x = 19,456.38 × 5,947.32
  4. Step 4: Simplify right side
    12,964x = 115,713,317.90
  5. Step 5: Solve for x
    x = 115,713,317.90/12,964
  6. Step 6: Final answer
    x = 8,925.74

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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.