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Finding the Fourth Proportional to 2,510.46, 3,765.33 and 778.50

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Solution

The fourth proportional to 2,510.46, 3,765.33 and 778.50 is: 1,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.46 : 3,765.33 = 778.50 : x
  2. Step 2: Convert to fraction form
    2,510.46/3,765.33 = 778.50/x
  3. Step 3: Cross multiply
    2,510.46x = 3,765.33 × 778.50
  4. Step 4: Simplify right side
    2,510.46x = 2,931,309.41
  5. Step 5: Solve for x
    x = 2,931,309.41/2,510.46
  6. Step 6: Final answer
    x = 1,167.64

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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.