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Finding the Fourth Proportional to 26,431, 36,471.43 and 14,491.20

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Solution

The fourth proportional to 26,431, 36,471.43 and 14,491.20 is: 19,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431 : 36,471.43 = 14,491.20 : x
  2. Step 2: Convert to fraction form
    26,431/36,471.43 = 14,491.20/x
  3. Step 3: Cross multiply
    26,431x = 36,471.43 × 14,491.20
  4. Step 4: Simplify right side
    26,431x = 528,514,567.83
  5. Step 5: Solve for x
    x = 528,514,567.83/26,431
  6. Step 6: Final answer
    x = 19,996.01

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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.