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Finding the Fourth Proportional to 37,641, 56,464.77 and 9,939

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Solution

The fourth proportional to 37,641, 56,464.77 and 9,939 is: 14,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641 : 56,464.77 = 9,939 : x
  2. Step 2: Convert to fraction form
    37,641/56,464.77 = 9,939/x
  3. Step 3: Cross multiply
    37,641x = 56,464.77 × 9,939
  4. Step 4: Simplify right side
    37,641x = 561,203,349.03
  5. Step 5: Solve for x
    x = 561,203,349.03/37,641
  6. Step 6: Final answer
    x = 14,909.36

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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.