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Finding the Fourth Proportional to 9,782.37, 13,495.95 and 6,426.99

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Solution

The fourth proportional to 9,782.37, 13,495.95 and 6,426.99 is: 8,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.37 : 13,495.95 = 6,426.99 : x
  2. Step 2: Convert to fraction form
    9,782.37/13,495.95 = 6,426.99/x
  3. Step 3: Cross multiply
    9,782.37x = 13,495.95 × 6,426.99
  4. Step 4: Simplify right side
    9,782.37x = 86,738,335.69
  5. Step 5: Solve for x
    x = 86,738,335.69/9,782.37
  6. Step 6: Final answer
    x = 8,866.80

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