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Finding the Fourth Proportional to 30,742.84, 46,104.74 and 20,212.28

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Solution

The fourth proportional to 30,742.84, 46,104.74 and 20,212.28 is: 30,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.84 : 46,104.74 = 20,212.28 : x
  2. Step 2: Convert to fraction form
    30,742.84/46,104.74 = 20,212.28/x
  3. Step 3: Cross multiply
    30,742.84x = 46,104.74 × 20,212.28
  4. Step 4: Simplify right side
    30,742.84x = 931,881,914.21
  5. Step 5: Solve for x
    x = 931,881,914.21/30,742.84
  6. Step 6: Final answer
    x = 30,312.16

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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.