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Finding the Fourth Proportional to 19,335, 28,972.98 and 13,800

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Solution

The fourth proportional to 19,335, 28,972.98 and 13,800 is: 20,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,335 : 28,972.98 = 13,800 : x
  2. Step 2: Convert to fraction form
    19,335/28,972.98 = 13,800/x
  3. Step 3: Cross multiply
    19,335x = 28,972.98 × 13,800
  4. Step 4: Simplify right side
    19,335x = 399,827,124
  5. Step 5: Solve for x
    x = 399,827,124/19,335
  6. Step 6: Final answer
    x = 20,678.93

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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.