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Finding the Fourth Proportional to 19,670.40, 29,507.04 and 7,980.48

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Solution

The fourth proportional to 19,670.40, 29,507.04 and 7,980.48 is: 11,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.40 : 29,507.04 = 7,980.48 : x
  2. Step 2: Convert to fraction form
    19,670.40/29,507.04 = 7,980.48/x
  3. Step 3: Cross multiply
    19,670.40x = 29,507.04 × 7,980.48
  4. Step 4: Simplify right side
    19,670.40x = 235,480,342.58
  5. Step 5: Solve for x
    x = 235,480,342.58/19,670.40
  6. Step 6: Final answer
    x = 11,971.30

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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.