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Finding the Fourth Proportional to 15,782.45, 23,658.89 and 7,880.09

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Solution

The fourth proportional to 15,782.45, 23,658.89 and 7,880.09 is: 11,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.45 : 23,658.89 = 7,880.09 : x
  2. Step 2: Convert to fraction form
    15,782.45/23,658.89 = 7,880.09/x
  3. Step 3: Cross multiply
    15,782.45x = 23,658.89 × 7,880.09
  4. Step 4: Simplify right side
    15,782.45x = 186,434,024.81
  5. Step 5: Solve for x
    x = 186,434,024.81/15,782.45
  6. Step 6: Final answer
    x = 11,812.75

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1.5x scale

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.