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Finding the Fourth Proportional to 31,201.88, 46,802.71 and 7,828.32

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Solution

The fourth proportional to 31,201.88, 46,802.71 and 7,828.32 is: 11,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.88 : 46,802.71 = 7,828.32 : x
  2. Step 2: Convert to fraction form
    31,201.88/46,802.71 = 7,828.32/x
  3. Step 3: Cross multiply
    31,201.88x = 46,802.71 × 7,828.32
  4. Step 4: Simplify right side
    31,201.88x = 366,386,644.41
  5. Step 5: Solve for x
    x = 366,386,644.41/31,201.88
  6. Step 6: Final answer
    x = 11,742.45

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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.