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Finding the Fourth Proportional to 19,852.10, 29,780.80 and 10,492.52

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Solution

The fourth proportional to 19,852.10, 29,780.80 and 10,492.52 is: 15,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.10 : 29,780.80 = 10,492.52 : x
  2. Step 2: Convert to fraction form
    19,852.10/29,780.80 = 10,492.52/x
  3. Step 3: Cross multiply
    19,852.10x = 29,780.80 × 10,492.52
  4. Step 4: Simplify right side
    19,852.10x = 312,475,639.62
  5. Step 5: Solve for x
    x = 312,475,639.62/19,852.10
  6. Step 6: Final answer
    x = 15,740.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.