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Finding the Fourth Proportional to 1,428.06, 2,142.10 and 503.11

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Solution

The fourth proportional to 1,428.06, 2,142.10 and 503.11 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.06 : 2,142.10 = 503.11 : x
  2. Step 2: Convert to fraction form
    1,428.06/2,142.10 = 503.11/x
  3. Step 3: Cross multiply
    1,428.06x = 2,142.10 × 503.11
  4. Step 4: Simplify right side
    1,428.06x = 1,077,712.41
  5. Step 5: Solve for x
    x = 1,077,712.41/1,428.06
  6. Step 6: Final answer
    x = 754.67

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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.