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Finding the Fourth Proportional to 31,320.68, 46,980.92 and 7,947.06

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Solution

The fourth proportional to 31,320.68, 46,980.92 and 7,947.06 is: 11,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320.68 : 46,980.92 = 7,947.06 : x
  2. Step 2: Convert to fraction form
    31,320.68/46,980.92 = 7,947.06/x
  3. Step 3: Cross multiply
    31,320.68x = 46,980.92 × 7,947.06
  4. Step 4: Simplify right side
    31,320.68x = 373,360,190.10
  5. Step 5: Solve for x
    x = 373,360,190.10/31,320.68
  6. Step 6: Final answer
    x = 11,920.56

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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.