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Finding the Fourth Proportional to 26,878.16, 40,312.92 and 8,410.16

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Solution

The fourth proportional to 26,878.16, 40,312.92 and 8,410.16 is: 12,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,878.16 : 40,312.92 = 8,410.16 : x
  2. Step 2: Convert to fraction form
    26,878.16/40,312.92 = 8,410.16/x
  3. Step 3: Cross multiply
    26,878.16x = 40,312.92 × 8,410.16
  4. Step 4: Simplify right side
    26,878.16x = 339,038,107.27
  5. Step 5: Solve for x
    x = 339,038,107.27/26,878.16
  6. Step 6: Final answer
    x = 12,613.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.