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Finding the Fourth Proportional to 21,810.40, 32,702.40 and 8,647.60

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Solution

The fourth proportional to 21,810.40, 32,702.40 and 8,647.60 is: 12,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.40 : 32,702.40 = 8,647.60 : x
  2. Step 2: Convert to fraction form
    21,810.40/32,702.40 = 8,647.60/x
  3. Step 3: Cross multiply
    21,810.40x = 32,702.40 × 8,647.60
  4. Step 4: Simplify right side
    21,810.40x = 282,797,274.24
  5. Step 5: Solve for x
    x = 282,797,274.24/21,810.40
  6. Step 6: Final answer
    x = 12,966.17

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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.