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Finding the Fourth Proportional to 31,782.84, 47,655.72 and 9,589.56

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Solution

The fourth proportional to 31,782.84, 47,655.72 and 9,589.56 is: 14,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.84 : 47,655.72 = 9,589.56 : x
  2. Step 2: Convert to fraction form
    31,782.84/47,655.72 = 9,589.56/x
  3. Step 3: Cross multiply
    31,782.84x = 47,655.72 × 9,589.56
  4. Step 4: Simplify right side
    31,782.84x = 456,997,386.28
  5. Step 5: Solve for x
    x = 456,997,386.28/31,782.84
  6. Step 6: Final answer
    x = 14,378.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.