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Finding the Fourth Proportional to 12,986.40, 19,478.16 and 3,752.40

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Solution

The fourth proportional to 12,986.40, 19,478.16 and 3,752.40 is: 5,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.40 : 19,478.16 = 3,752.40 : x
  2. Step 2: Convert to fraction form
    12,986.40/19,478.16 = 3,752.40/x
  3. Step 3: Cross multiply
    12,986.40x = 19,478.16 × 3,752.40
  4. Step 4: Simplify right side
    12,986.40x = 73,089,847.58
  5. Step 5: Solve for x
    x = 73,089,847.58/12,986.40
  6. Step 6: Final answer
    x = 5,628.18

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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.