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Finding the Fourth Proportional to 21,588, 29,804.40 and 14,148.96

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Solution

The fourth proportional to 21,588, 29,804.40 and 14,148.96 is: 19,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,588 : 29,804.40 = 14,148.96 : x
  2. Step 2: Convert to fraction form
    21,588/29,804.40 = 14,148.96/x
  3. Step 3: Cross multiply
    21,588x = 29,804.40 × 14,148.96
  4. Step 4: Simplify right side
    21,588x = 421,701,263.42
  5. Step 5: Solve for x
    x = 421,701,263.42/21,588
  6. Step 6: Final answer
    x = 19,534.06

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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.