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Finding the Fourth Proportional to 31,210.80, 46,828.02 and 18,739.54

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Solution

The fourth proportional to 31,210.80, 46,828.02 and 18,739.54 is: 28,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,210.80 : 46,828.02 = 18,739.54 : x
  2. Step 2: Convert to fraction form
    31,210.80/46,828.02 = 18,739.54/x
  3. Step 3: Cross multiply
    31,210.80x = 46,828.02 × 18,739.54
  4. Step 4: Simplify right side
    31,210.80x = 877,535,319.77
  5. Step 5: Solve for x
    x = 877,535,319.77/31,210.80
  6. Step 6: Final answer
    x = 28,116.40

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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.