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Finding the Fourth Proportional to 15,683.10, 23,506.02 and 7,780.74

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Solution

The fourth proportional to 15,683.10, 23,506.02 and 7,780.74 is: 11,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.10 : 23,506.02 = 7,780.74 : x
  2. Step 2: Convert to fraction form
    15,683.10/23,506.02 = 7,780.74/x
  3. Step 3: Cross multiply
    15,683.10x = 23,506.02 × 7,780.74
  4. Step 4: Simplify right side
    15,683.10x = 182,894,230.05
  5. Step 5: Solve for x
    x = 182,894,230.05/15,683.10
  6. Step 6: Final answer
    x = 11,661.87

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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.