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Finding the Fourth Proportional to 4,176, 5,762.88 and 2,520

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Solution

The fourth proportional to 4,176, 5,762.88 and 2,520 is: 3,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176 : 5,762.88 = 2,520 : x
  2. Step 2: Convert to fraction form
    4,176/5,762.88 = 2,520/x
  3. Step 3: Cross multiply
    4,176x = 5,762.88 × 2,520
  4. Step 4: Simplify right side
    4,176x = 14,522,457.60
  5. Step 5: Solve for x
    x = 14,522,457.60/4,176
  6. Step 6: Final answer
    x = 3,477.60

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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.