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Finding the Fourth Proportional to 31,209.70, 46,814.55 and 20,712.10

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Solution

The fourth proportional to 31,209.70, 46,814.55 and 20,712.10 is: 31,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.70 : 46,814.55 = 20,712.10 : x
  2. Step 2: Convert to fraction form
    31,209.70/46,814.55 = 20,712.10/x
  3. Step 3: Cross multiply
    31,209.70x = 46,814.55 × 20,712.10
  4. Step 4: Simplify right side
    31,209.70x = 969,627,641.06
  5. Step 5: Solve for x
    x = 969,627,641.06/31,209.70
  6. Step 6: Final answer
    x = 31,068.15

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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.