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Finding the Fourth Proportional to 47,710.98, 65,830.50 and 28,847.70

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Solution

The fourth proportional to 47,710.98, 65,830.50 and 28,847.70 is: 39,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,710.98 : 65,830.50 = 28,847.70 : x
  2. Step 2: Convert to fraction form
    47,710.98/65,830.50 = 28,847.70/x
  3. Step 3: Cross multiply
    47,710.98x = 65,830.50 × 28,847.70
  4. Step 4: Simplify right side
    47,710.98x = 1,899,058,514.85
  5. Step 5: Solve for x
    x = 1,899,058,514.85/47,710.98
  6. Step 6: Final answer
    x = 39,803.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.