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Finding the Fourth Proportional to 15,782.34, 23,674.54 and 5,251.94

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Solution

The fourth proportional to 15,782.34, 23,674.54 and 5,251.94 is: 7,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.34 : 23,674.54 = 5,251.94 : x
  2. Step 2: Convert to fraction form
    15,782.34/23,674.54 = 5,251.94/x
  3. Step 3: Cross multiply
    15,782.34x = 23,674.54 × 5,251.94
  4. Step 4: Simplify right side
    15,782.34x = 124,337,263.61
  5. Step 5: Solve for x
    x = 124,337,263.61/15,782.34
  6. Step 6: Final answer
    x = 7,878.25

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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.