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Finding the Fourth Proportional to 13,946.76, 19,246.98 and 7,978.44

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Solution

The fourth proportional to 13,946.76, 19,246.98 and 7,978.44 is: 11,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.76 : 19,246.98 = 7,978.44 : x
  2. Step 2: Convert to fraction form
    13,946.76/19,246.98 = 7,978.44/x
  3. Step 3: Cross multiply
    13,946.76x = 19,246.98 × 7,978.44
  4. Step 4: Simplify right side
    13,946.76x = 153,560,875.11
  5. Step 5: Solve for x
    x = 153,560,875.11/13,946.76
  6. Step 6: Final answer
    x = 11,010.51

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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.