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Finding the Fourth Proportional to 5,798.40, 8,697.60 and 1,415.90

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Solution

The fourth proportional to 5,798.40, 8,697.60 and 1,415.90 is: 2,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.40 : 8,697.60 = 1,415.90 : x
  2. Step 2: Convert to fraction form
    5,798.40/8,697.60 = 1,415.90/x
  3. Step 3: Cross multiply
    5,798.40x = 8,697.60 × 1,415.90
  4. Step 4: Simplify right side
    5,798.40x = 12,314,888.35
  5. Step 5: Solve for x
    x = 12,314,888.35/5,798.40
  6. Step 6: Final answer
    x = 2,123.84

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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.