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Finding the Fourth Proportional to 7,830.87, 11,743.06 and 2,897.63

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Solution

The fourth proportional to 7,830.87, 11,743.06 and 2,897.63 is: 4,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.87 : 11,743.06 = 2,897.63 : x
  2. Step 2: Convert to fraction form
    7,830.87/11,743.06 = 2,897.63/x
  3. Step 3: Cross multiply
    7,830.87x = 11,743.06 × 2,897.63
  4. Step 4: Simplify right side
    7,830.87x = 34,027,042.95
  5. Step 5: Solve for x
    x = 34,027,042.95/7,830.87
  6. Step 6: Final answer
    x = 4,345.24

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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.