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Finding the Fourth Proportional to 9,835.32, 13,571.20 and 5,642.76

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Solution

The fourth proportional to 9,835.32, 13,571.20 and 5,642.76 is: 7,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.32 : 13,571.20 = 5,642.76 : x
  2. Step 2: Convert to fraction form
    9,835.32/13,571.20 = 5,642.76/x
  3. Step 3: Cross multiply
    9,835.32x = 13,571.20 × 5,642.76
  4. Step 4: Simplify right side
    9,835.32x = 76,579,024.51
  5. Step 5: Solve for x
    x = 76,579,024.51/9,835.32
  6. Step 6: Final answer
    x = 7,786.12

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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.