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Finding the Fourth Proportional to 13,830.80, 20,746.20 and 3,970.40

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Solution

The fourth proportional to 13,830.80, 20,746.20 and 3,970.40 is: 5,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.80 : 20,746.20 = 3,970.40 : x
  2. Step 2: Convert to fraction form
    13,830.80/20,746.20 = 3,970.40/x
  3. Step 3: Cross multiply
    13,830.80x = 20,746.20 × 3,970.40
  4. Step 4: Simplify right side
    13,830.80x = 82,370,712.48
  5. Step 5: Solve for x
    x = 82,370,712.48/13,830.80
  6. Step 6: Final answer
    x = 5,955.60

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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.