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Finding the Fourth Proportional to 13,114.40, 18,412 and 13,114.40

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Solution

The fourth proportional to 13,114.40, 18,412 and 13,114.40 is: 18,412

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.40 : 18,412 = 13,114.40 : x
  2. Step 2: Convert to fraction form
    13,114.40/18,412 = 13,114.40/x
  3. Step 3: Cross multiply
    13,114.40x = 18,412 × 13,114.40
  4. Step 4: Simplify right side
    13,114.40x = 241,462,332.80
  5. Step 5: Solve for x
    x = 241,462,332.80/13,114.40
  6. Step 6: Final answer
    x = 18,412

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.