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Finding the Fourth Proportional to 12,980.40, 19,469.16 and 3,746.40

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Solution

The fourth proportional to 12,980.40, 19,469.16 and 3,746.40 is: 5,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.40 : 19,469.16 = 3,746.40 : x
  2. Step 2: Convert to fraction form
    12,980.40/19,469.16 = 3,746.40/x
  3. Step 3: Cross multiply
    12,980.40x = 19,469.16 × 3,746.40
  4. Step 4: Simplify right side
    12,980.40x = 72,939,261.02
  5. Step 5: Solve for x
    x = 72,939,261.02/12,980.40
  6. Step 6: Final answer
    x = 5,619.18

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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.