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Finding the Fourth Proportional to 7,810.40, 11,715.60 and 5,632.94

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Solution

The fourth proportional to 7,810.40, 11,715.60 and 5,632.94 is: 8,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.40 : 11,715.60 = 5,632.94 : x
  2. Step 2: Convert to fraction form
    7,810.40/11,715.60 = 5,632.94/x
  3. Step 3: Cross multiply
    7,810.40x = 11,715.60 × 5,632.94
  4. Step 4: Simplify right side
    7,810.40x = 65,993,271.86
  5. Step 5: Solve for x
    x = 65,993,271.86/7,810.40
  6. Step 6: Final answer
    x = 8,449.41

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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.