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Finding the Fourth Proportional to 30,492.84, 45,715.02 and 20,028

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Solution

The fourth proportional to 30,492.84, 45,715.02 and 20,028 is: 30,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.84 : 45,715.02 = 20,028 : x
  2. Step 2: Convert to fraction form
    30,492.84/45,715.02 = 20,028/x
  3. Step 3: Cross multiply
    30,492.84x = 45,715.02 × 20,028
  4. Step 4: Simplify right side
    30,492.84x = 915,580,420.56
  5. Step 5: Solve for x
    x = 915,580,420.56/30,492.84
  6. Step 6: Final answer
    x = 30,026.08

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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.