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Finding the Fourth Proportional to 29,678.25, 40,956 and 16,430.25

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Solution

The fourth proportional to 29,678.25, 40,956 and 16,430.25 is: 22,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.25 : 40,956 = 16,430.25 : x
  2. Step 2: Convert to fraction form
    29,678.25/40,956 = 16,430.25/x
  3. Step 3: Cross multiply
    29,678.25x = 40,956 × 16,430.25
  4. Step 4: Simplify right side
    29,678.25x = 672,917,319
  5. Step 5: Solve for x
    x = 672,917,319/29,678.25
  6. Step 6: Final answer
    x = 22,673.75

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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.