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Finding the Fourth Proportional to 5,312, 7,970.88 and 2,576

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Solution

The fourth proportional to 5,312, 7,970.88 and 2,576 is: 3,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312 : 7,970.88 = 2,576 : x
  2. Step 2: Convert to fraction form
    5,312/7,970.88 = 2,576/x
  3. Step 3: Cross multiply
    5,312x = 7,970.88 × 2,576
  4. Step 4: Simplify right side
    5,312x = 20,532,986.88
  5. Step 5: Solve for x
    x = 20,532,986.88/5,312
  6. Step 6: Final answer
    x = 3,865.40

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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.