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Finding the Fourth Proportional to 15,999.20, 23,980.80 and 7,683.20

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Solution

The fourth proportional to 15,999.20, 23,980.80 and 7,683.20 is: 11,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.20 : 23,980.80 = 7,683.20 : x
  2. Step 2: Convert to fraction form
    15,999.20/23,980.80 = 7,683.20/x
  3. Step 3: Cross multiply
    15,999.20x = 23,980.80 × 7,683.20
  4. Step 4: Simplify right side
    15,999.20x = 184,249,282.56
  5. Step 5: Solve for x
    x = 184,249,282.56/15,999.20
  6. Step 6: Final answer
    x = 11,516.16

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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.