Home / 31,287.36-46,921.32-10,506

Finding the Fourth Proportional to 31,287.36, 46,921.32 and 10,506

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Solution

The fourth proportional to 31,287.36, 46,921.32 and 10,506 is: 15,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.36 : 46,921.32 = 10,506 : x
  2. Step 2: Convert to fraction form
    31,287.36/46,921.32 = 10,506/x
  3. Step 3: Cross multiply
    31,287.36x = 46,921.32 × 10,506
  4. Step 4: Simplify right side
    31,287.36x = 492,955,387.92
  5. Step 5: Solve for x
    x = 492,955,387.92/31,287.36
  6. Step 6: Final answer
    x = 15,755.74

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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.