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Finding the Fourth Proportional to 14,478.64, 19,971.04 and 11,489.76

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Solution

The fourth proportional to 14,478.64, 19,971.04 and 11,489.76 is: 15,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.64 : 19,971.04 = 11,489.76 : x
  2. Step 2: Convert to fraction form
    14,478.64/19,971.04 = 11,489.76/x
  3. Step 3: Cross multiply
    14,478.64x = 19,971.04 × 11,489.76
  4. Step 4: Simplify right side
    14,478.64x = 229,462,456.55
  5. Step 5: Solve for x
    x = 229,462,456.55/14,478.64
  6. Step 6: Final answer
    x = 15,848.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.