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Finding the Fourth Proportional to 26,321.86, 36,312.50 and 15,705.32

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Solution

The fourth proportional to 26,321.86, 36,312.50 and 15,705.32 is: 21,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,321.86 : 36,312.50 = 15,705.32 : x
  2. Step 2: Convert to fraction form
    26,321.86/36,312.50 = 15,705.32/x
  3. Step 3: Cross multiply
    26,321.86x = 36,312.50 × 15,705.32
  4. Step 4: Simplify right side
    26,321.86x = 570,299,432.50
  5. Step 5: Solve for x
    x = 570,299,432.50/26,321.86
  6. Step 6: Final answer
    x = 21,666.38

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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.