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Finding the Fourth Proportional to 5,238, 7,857 and 1,590

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Solution

The fourth proportional to 5,238, 7,857 and 1,590 is: 2,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,857 = 1,590 : x
  2. Step 2: Convert to fraction form
    5,238/7,857 = 1,590/x
  3. Step 3: Cross multiply
    5,238x = 7,857 × 1,590
  4. Step 4: Simplify right side
    5,238x = 12,492,630
  5. Step 5: Solve for x
    x = 12,492,630/5,238
  6. Step 6: Final answer
    x = 2,385

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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.