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Finding the Fourth Proportional to 13,957.74, 19,256.22 and 7,986.20

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Solution

The fourth proportional to 13,957.74, 19,256.22 and 7,986.20 is: 11,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.74 : 19,256.22 = 7,986.20 : x
  2. Step 2: Convert to fraction form
    13,957.74/19,256.22 = 7,986.20/x
  3. Step 3: Cross multiply
    13,957.74x = 19,256.22 × 7,986.20
  4. Step 4: Simplify right side
    13,957.74x = 153,784,024.16
  5. Step 5: Solve for x
    x = 153,784,024.16/13,957.74
  6. Step 6: Final answer
    x = 11,017.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.