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Finding the Fourth Proportional to 26,985.70, 40,482 and 9,219.76

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Solution

The fourth proportional to 26,985.70, 40,482 and 9,219.76 is: 13,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,985.70 : 40,482 = 9,219.76 : x
  2. Step 2: Convert to fraction form
    26,985.70/40,482 = 9,219.76/x
  3. Step 3: Cross multiply
    26,985.70x = 40,482 × 9,219.76
  4. Step 4: Simplify right side
    26,985.70x = 373,234,324.32
  5. Step 5: Solve for x
    x = 373,234,324.32/26,985.70
  6. Step 6: Final answer
    x = 13,830.82

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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.