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Finding the Fourth Proportional to 23,776, 32,810.88 and 13,840

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Solution

The fourth proportional to 23,776, 32,810.88 and 13,840 is: 19,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 32,810.88 = 13,840 : x
  2. Step 2: Convert to fraction form
    23,776/32,810.88 = 13,840/x
  3. Step 3: Cross multiply
    23,776x = 32,810.88 × 13,840
  4. Step 4: Simplify right side
    23,776x = 454,102,579.20
  5. Step 5: Solve for x
    x = 454,102,579.20/23,776
  6. Step 6: Final answer
    x = 19,099.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.