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Finding the Fourth Proportional to 6,515.85, 9,773.78 and 1,585.50

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Solution

The fourth proportional to 6,515.85, 9,773.78 and 1,585.50 is: 2,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.85 : 9,773.78 = 1,585.50 : x
  2. Step 2: Convert to fraction form
    6,515.85/9,773.78 = 1,585.50/x
  3. Step 3: Cross multiply
    6,515.85x = 9,773.78 × 1,585.50
  4. Step 4: Simplify right side
    6,515.85x = 15,496,328.19
  5. Step 5: Solve for x
    x = 15,496,328.19/6,515.85
  6. Step 6: Final answer
    x = 2,378.25

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Double scale
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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.