Home / 5,475.84-8,212.56-1,580.16

Finding the Fourth Proportional to 5,475.84, 8,212.56 and 1,580.16

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Solution

The fourth proportional to 5,475.84, 8,212.56 and 1,580.16 is: 2,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.84 : 8,212.56 = 1,580.16 : x
  2. Step 2: Convert to fraction form
    5,475.84/8,212.56 = 1,580.16/x
  3. Step 3: Cross multiply
    5,475.84x = 8,212.56 × 1,580.16
  4. Step 4: Simplify right side
    5,475.84x = 12,977,158.81
  5. Step 5: Solve for x
    x = 12,977,158.81/5,475.84
  6. Step 6: Final answer
    x = 2,369.89

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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.