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Finding the Fourth Proportional to 30,101.67, 45,148.91 and 7,916.76

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Solution

The fourth proportional to 30,101.67, 45,148.91 and 7,916.76 is: 11,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.67 : 45,148.91 = 7,916.76 : x
  2. Step 2: Convert to fraction form
    30,101.67/45,148.91 = 7,916.76/x
  3. Step 3: Cross multiply
    30,101.67x = 45,148.91 × 7,916.76
  4. Step 4: Simplify right side
    30,101.67x = 357,433,045.15
  5. Step 5: Solve for x
    x = 357,433,045.15/30,101.67
  6. Step 6: Final answer
    x = 11,874.19

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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.