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Finding the Fourth Proportional to 21,461, 29,583.70 and 18,460.84

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Solution

The fourth proportional to 21,461, 29,583.70 and 18,460.84 is: 25,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461 : 29,583.70 = 18,460.84 : x
  2. Step 2: Convert to fraction form
    21,461/29,583.70 = 18,460.84/x
  3. Step 3: Cross multiply
    21,461x = 29,583.70 × 18,460.84
  4. Step 4: Simplify right side
    21,461x = 546,139,952.31
  5. Step 5: Solve for x
    x = 546,139,952.31/21,461
  6. Step 6: Final answer
    x = 25,448.02

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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.