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Finding the Fourth Proportional to 13,820.40, 19,400.40 and 13,820.40

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Solution

The fourth proportional to 13,820.40, 19,400.40 and 13,820.40 is: 19,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.40 : 19,400.40 = 13,820.40 : x
  2. Step 2: Convert to fraction form
    13,820.40/19,400.40 = 13,820.40/x
  3. Step 3: Cross multiply
    13,820.40x = 19,400.40 × 13,820.40
  4. Step 4: Simplify right side
    13,820.40x = 268,121,288.16
  5. Step 5: Solve for x
    x = 268,121,288.16/13,820.40
  6. Step 6: Final answer
    x = 19,400.40

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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.