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Finding the Fourth Proportional to 31,323.47, 46,894.95 and 20,804.00

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Solution

The fourth proportional to 31,323.47, 46,894.95 and 20,804.00 is: 31,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323.47 : 46,894.95 = 20,804.00 : x
  2. Step 2: Convert to fraction form
    31,323.47/46,894.95 = 20,804.00/x
  3. Step 3: Cross multiply
    31,323.47x = 46,894.95 × 20,804.00
  4. Step 4: Simplify right side
    31,323.47x = 975,602,305.33
  5. Step 5: Solve for x
    x = 975,602,305.33/31,323.47
  6. Step 6: Final answer
    x = 31,146.05

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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.