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Finding the Fourth Proportional to 5,620, 8,430 and 1,516

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Solution

The fourth proportional to 5,620, 8,430 and 1,516 is: 2,274

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620 : 8,430 = 1,516 : x
  2. Step 2: Convert to fraction form
    5,620/8,430 = 1,516/x
  3. Step 3: Cross multiply
    5,620x = 8,430 × 1,516
  4. Step 4: Simplify right side
    5,620x = 12,779,880
  5. Step 5: Solve for x
    x = 12,779,880/5,620
  6. Step 6: Final answer
    x = 2,274

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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.