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Finding the Fourth Proportional to 30,602.84, 45,911.16 and 10,881.32

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Solution

The fourth proportional to 30,602.84, 45,911.16 and 10,881.32 is: 16,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.84 : 45,911.16 = 10,881.32 : x
  2. Step 2: Convert to fraction form
    30,602.84/45,911.16 = 10,881.32/x
  3. Step 3: Cross multiply
    30,602.84x = 45,911.16 × 10,881.32
  4. Step 4: Simplify right side
    30,602.84x = 499,574,023.53
  5. Step 5: Solve for x
    x = 499,574,023.53/30,602.84
  6. Step 6: Final answer
    x = 16,324.43

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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.