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Finding the Fourth Proportional to 15,782.88, 23,672 and 4,687.50

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Solution

The fourth proportional to 15,782.88, 23,672 and 4,687.50 is: 7,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.88 : 23,672 = 4,687.50 : x
  2. Step 2: Convert to fraction form
    15,782.88/23,672 = 4,687.50/x
  3. Step 3: Cross multiply
    15,782.88x = 23,672 × 4,687.50
  4. Step 4: Simplify right side
    15,782.88x = 110,962,500
  5. Step 5: Solve for x
    x = 110,962,500/15,782.88
  6. Step 6: Final answer
    x = 7,030.56

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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.