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Finding the Fourth Proportional to 5,762.40, 8,639.52 and 2,988

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Solution

The fourth proportional to 5,762.40, 8,639.52 and 2,988 is: 4,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.40 : 8,639.52 = 2,988 : x
  2. Step 2: Convert to fraction form
    5,762.40/8,639.52 = 2,988/x
  3. Step 3: Cross multiply
    5,762.40x = 8,639.52 × 2,988
  4. Step 4: Simplify right side
    5,762.40x = 25,814,885.76
  5. Step 5: Solve for x
    x = 25,814,885.76/5,762.40
  6. Step 6: Final answer
    x = 4,479.88

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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.