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Finding the Fourth Proportional to 21,476.83, 29,639.51 and 12,046

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Solution

The fourth proportional to 21,476.83, 29,639.51 and 12,046 is: 16,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.83 : 29,639.51 = 12,046 : x
  2. Step 2: Convert to fraction form
    21,476.83/29,639.51 = 12,046/x
  3. Step 3: Cross multiply
    21,476.83x = 29,639.51 × 12,046
  4. Step 4: Simplify right side
    21,476.83x = 357,037,537.46
  5. Step 5: Solve for x
    x = 357,037,537.46/21,476.83
  6. Step 6: Final answer
    x = 16,624.31

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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.