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Finding the Fourth Proportional to 31,292.88, 46,947.01 and 9,106.45

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Solution

The fourth proportional to 31,292.88, 46,947.01 and 9,106.45 is: 13,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.88 : 46,947.01 = 9,106.45 : x
  2. Step 2: Convert to fraction form
    31,292.88/46,947.01 = 9,106.45/x
  3. Step 3: Cross multiply
    31,292.88x = 46,947.01 × 9,106.45
  4. Step 4: Simplify right side
    31,292.88x = 427,520,569.78
  5. Step 5: Solve for x
    x = 427,520,569.78/31,292.88
  6. Step 6: Final answer
    x = 13,661.91

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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.