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Finding the Fourth Proportional to 9,762.80, 14,638.80 and 3,521.75

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Solution

The fourth proportional to 9,762.80, 14,638.80 and 3,521.75 is: 5,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.80 : 14,638.80 = 3,521.75 : x
  2. Step 2: Convert to fraction form
    9,762.80/14,638.80 = 3,521.75/x
  3. Step 3: Cross multiply
    9,762.80x = 14,638.80 × 3,521.75
  4. Step 4: Simplify right side
    9,762.80x = 51,554,193.90
  5. Step 5: Solve for x
    x = 51,554,193.90/9,762.80
  6. Step 6: Final answer
    x = 5,280.68

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1.5x scale

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.