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Finding the Fourth Proportional to 15,823.70, 23,735.55 and 9,991.70

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Solution

The fourth proportional to 15,823.70, 23,735.55 and 9,991.70 is: 14,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.70 : 23,735.55 = 9,991.70 : x
  2. Step 2: Convert to fraction form
    15,823.70/23,735.55 = 9,991.70/x
  3. Step 3: Cross multiply
    15,823.70x = 23,735.55 × 9,991.70
  4. Step 4: Simplify right side
    15,823.70x = 237,158,494.94
  5. Step 5: Solve for x
    x = 237,158,494.94/15,823.70
  6. Step 6: Final answer
    x = 14,987.55

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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.