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Finding the Fourth Proportional to 12,971.48, 19,459.04 and 4,203.56

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Solution

The fourth proportional to 12,971.48, 19,459.04 and 4,203.56 is: 6,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.48 : 19,459.04 = 4,203.56 : x
  2. Step 2: Convert to fraction form
    12,971.48/19,459.04 = 4,203.56/x
  3. Step 3: Cross multiply
    12,971.48x = 19,459.04 × 4,203.56
  4. Step 4: Simplify right side
    12,971.48x = 81,797,242.18
  5. Step 5: Solve for x
    x = 81,797,242.18/12,971.48
  6. Step 6: Final answer
    x = 6,305.93

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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.