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Finding the Fourth Proportional to 21,852.80, 32,780.42 and 6,270

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Solution

The fourth proportional to 21,852.80, 32,780.42 and 6,270 is: 9,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.80 : 32,780.42 = 6,270 : x
  2. Step 2: Convert to fraction form
    21,852.80/32,780.42 = 6,270/x
  3. Step 3: Cross multiply
    21,852.80x = 32,780.42 × 6,270
  4. Step 4: Simplify right side
    21,852.80x = 205,533,233.40
  5. Step 5: Solve for x
    x = 205,533,233.40/21,852.80
  6. Step 6: Final answer
    x = 9,405.35

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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.