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Finding the Fourth Proportional to 13,670.95, 20,506.47 and 7,823.46

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Solution

The fourth proportional to 13,670.95, 20,506.47 and 7,823.46 is: 11,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.95 : 20,506.47 = 7,823.46 : x
  2. Step 2: Convert to fraction form
    13,670.95/20,506.47 = 7,823.46/x
  3. Step 3: Cross multiply
    13,670.95x = 20,506.47 × 7,823.46
  4. Step 4: Simplify right side
    13,670.95x = 160,431,537.67
  5. Step 5: Solve for x
    x = 160,431,537.67/13,670.95
  6. Step 6: Final answer
    x = 11,735.21

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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.