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Finding the Fourth Proportional to 15,483, 23,212.56 and 7,685.76

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Solution

The fourth proportional to 15,483, 23,212.56 and 7,685.76 is: 11,522.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,483 : 23,212.56 = 7,685.76 : x
  2. Step 2: Convert to fraction form
    15,483/23,212.56 = 7,685.76/x
  3. Step 3: Cross multiply
    15,483x = 23,212.56 × 7,685.76
  4. Step 4: Simplify right side
    15,483x = 178,406,165.15
  5. Step 5: Solve for x
    x = 178,406,165.15/15,483
  6. Step 6: Final answer
    x = 11,522.71

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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.