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Finding the Fourth Proportional to 30,210.84, 45,316.08 and 11,742.84

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Solution

The fourth proportional to 30,210.84, 45,316.08 and 11,742.84 is: 17,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210.84 : 45,316.08 = 11,742.84 : x
  2. Step 2: Convert to fraction form
    30,210.84/45,316.08 = 11,742.84/x
  3. Step 3: Cross multiply
    30,210.84x = 45,316.08 × 11,742.84
  4. Step 4: Simplify right side
    30,210.84x = 532,139,476.87
  5. Step 5: Solve for x
    x = 532,139,476.87/30,210.84
  6. Step 6: Final answer
    x = 17,614.19

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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.