Home / 31,870.82-47,807.04-17,823

Finding the Fourth Proportional to 31,870.82, 47,807.04 and 17,823

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Solution

The fourth proportional to 31,870.82, 47,807.04 and 17,823 is: 26,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.82 : 47,807.04 = 17,823 : x
  2. Step 2: Convert to fraction form
    31,870.82/47,807.04 = 17,823/x
  3. Step 3: Cross multiply
    31,870.82x = 47,807.04 × 17,823
  4. Step 4: Simplify right side
    31,870.82x = 852,064,873.92
  5. Step 5: Solve for x
    x = 852,064,873.92/31,870.82
  6. Step 6: Final answer
    x = 26,734.95

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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.