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Finding the Fourth Proportional to 13,980.74, 19,294.20 and 8,013.40

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Solution

The fourth proportional to 13,980.74, 19,294.20 and 8,013.40 is: 11,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.74 : 19,294.20 = 8,013.40 : x
  2. Step 2: Convert to fraction form
    13,980.74/19,294.20 = 8,013.40/x
  3. Step 3: Cross multiply
    13,980.74x = 19,294.20 × 8,013.40
  4. Step 4: Simplify right side
    13,980.74x = 154,612,094.04
  5. Step 5: Solve for x
    x = 154,612,094.04/13,980.74
  6. Step 6: Final answer
    x = 11,058.94

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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.