Home / 31,288.36-46,922.82-10,507

Finding the Fourth Proportional to 31,288.36, 46,922.82 and 10,507

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Solution

The fourth proportional to 31,288.36, 46,922.82 and 10,507 is: 15,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.36 : 46,922.82 = 10,507 : x
  2. Step 2: Convert to fraction form
    31,288.36/46,922.82 = 10,507/x
  3. Step 3: Cross multiply
    31,288.36x = 46,922.82 × 10,507
  4. Step 4: Simplify right side
    31,288.36x = 493,018,069.74
  5. Step 5: Solve for x
    x = 493,018,069.74/31,288.36
  6. Step 6: Final answer
    x = 15,757.24

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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.