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Finding the Fourth Proportional to 21,497.79, 29,681.41 and 16,453

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Solution

The fourth proportional to 21,497.79, 29,681.41 and 16,453 is: 22,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.79 : 29,681.41 = 16,453 : x
  2. Step 2: Convert to fraction form
    21,497.79/29,681.41 = 16,453/x
  3. Step 3: Cross multiply
    21,497.79x = 29,681.41 × 16,453
  4. Step 4: Simplify right side
    21,497.79x = 488,348,238.73
  5. Step 5: Solve for x
    x = 488,348,238.73/21,497.79
  6. Step 6: Final answer
    x = 22,716.21

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1.5x scale

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.