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Finding the Fourth Proportional to 9,775.48, 13,496.40 and 6,424.24

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Solution

The fourth proportional to 9,775.48, 13,496.40 and 6,424.24 is: 8,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.48 : 13,496.40 = 6,424.24 : x
  2. Step 2: Convert to fraction form
    9,775.48/13,496.40 = 6,424.24/x
  3. Step 3: Cross multiply
    9,775.48x = 13,496.40 × 6,424.24
  4. Step 4: Simplify right side
    9,775.48x = 86,704,112.74
  5. Step 5: Solve for x
    x = 86,704,112.74/9,775.48
  6. Step 6: Final answer
    x = 8,869.55

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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.