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Finding the Fourth Proportional to 13,698.42, 18,871.02 and 13,031.40

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Solution

The fourth proportional to 13,698.42, 18,871.02 and 13,031.40 is: 17,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.42 : 18,871.02 = 13,031.40 : x
  2. Step 2: Convert to fraction form
    13,698.42/18,871.02 = 13,031.40/x
  3. Step 3: Cross multiply
    13,698.42x = 18,871.02 × 13,031.40
  4. Step 4: Simplify right side
    13,698.42x = 245,915,810.03
  5. Step 5: Solve for x
    x = 245,915,810.03/13,698.42
  6. Step 6: Final answer
    x = 17,952.13

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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.