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Finding the Fourth Proportional to 3,018.67, 4,526.65 and 938.93

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Solution

The fourth proportional to 3,018.67, 4,526.65 and 938.93 is: 1,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.67 : 4,526.65 = 938.93 : x
  2. Step 2: Convert to fraction form
    3,018.67/4,526.65 = 938.93/x
  3. Step 3: Cross multiply
    3,018.67x = 4,526.65 × 938.93
  4. Step 4: Simplify right side
    3,018.67x = 4,250,207.48
  5. Step 5: Solve for x
    x = 4,250,207.48/3,018.67
  6. Step 6: Final answer
    x = 1,407.97

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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.