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Finding the Fourth Proportional to 19,802.98, 29,709.42 and 13,970.98

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Solution

The fourth proportional to 19,802.98, 29,709.42 and 13,970.98 is: 20,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.98 : 29,709.42 = 13,970.98 : x
  2. Step 2: Convert to fraction form
    19,802.98/29,709.42 = 13,970.98/x
  3. Step 3: Cross multiply
    19,802.98x = 29,709.42 × 13,970.98
  4. Step 4: Simplify right side
    19,802.98x = 415,069,712.63
  5. Step 5: Solve for x
    x = 415,069,712.63/19,802.98
  6. Step 6: Final answer
    x = 20,959.96

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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.