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Finding the Fourth Proportional to 21,641.50, 32,459 and 6,848.50

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Solution

The fourth proportional to 21,641.50, 32,459 and 6,848.50 is: 10,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.50 : 32,459 = 6,848.50 : x
  2. Step 2: Convert to fraction form
    21,641.50/32,459 = 6,848.50/x
  3. Step 3: Cross multiply
    21,641.50x = 32,459 × 6,848.50
  4. Step 4: Simplify right side
    21,641.50x = 222,295,461.50
  5. Step 5: Solve for x
    x = 222,295,461.50/21,641.50
  6. Step 6: Final answer
    x = 10,271.72

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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.