Home / 5,192.40-7,782.48-2,590

Finding the Fourth Proportional to 5,192.40, 7,782.48 and 2,590

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Solution

The fourth proportional to 5,192.40, 7,782.48 and 2,590 is: 3,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.40 : 7,782.48 = 2,590 : x
  2. Step 2: Convert to fraction form
    5,192.40/7,782.48 = 2,590/x
  3. Step 3: Cross multiply
    5,192.40x = 7,782.48 × 2,590
  4. Step 4: Simplify right side
    5,192.40x = 20,156,623.20
  5. Step 5: Solve for x
    x = 20,156,623.20/5,192.40
  6. Step 6: Final answer
    x = 3,881.95

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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.