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Finding the Fourth Proportional to 29,378, 40,541.64 and 16,130

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Solution

The fourth proportional to 29,378, 40,541.64 and 16,130 is: 22,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378 : 40,541.64 = 16,130 : x
  2. Step 2: Convert to fraction form
    29,378/40,541.64 = 16,130/x
  3. Step 3: Cross multiply
    29,378x = 40,541.64 × 16,130
  4. Step 4: Simplify right side
    29,378x = 653,936,653.20
  5. Step 5: Solve for x
    x = 653,936,653.20/29,378
  6. Step 6: Final answer
    x = 22,259.40

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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.