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Finding the Fourth Proportional to 7,110.75, 10,666.13 and 1,916.63

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Solution

The fourth proportional to 7,110.75, 10,666.13 and 1,916.63 is: 2,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.75 : 10,666.13 = 1,916.63 : x
  2. Step 2: Convert to fraction form
    7,110.75/10,666.13 = 1,916.63/x
  3. Step 3: Cross multiply
    7,110.75x = 10,666.13 × 1,916.63
  4. Step 4: Simplify right side
    7,110.75x = 20,443,024.74
  5. Step 5: Solve for x
    x = 20,443,024.74/7,110.75
  6. Step 6: Final answer
    x = 2,874.95

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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.