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Finding the Fourth Proportional to 7,762.88, 10,715.47 and 4,619.00

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Solution

The fourth proportional to 7,762.88, 10,715.47 and 4,619.00 is: 6,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.88 : 10,715.47 = 4,619.00 : x
  2. Step 2: Convert to fraction form
    7,762.88/10,715.47 = 4,619.00/x
  3. Step 3: Cross multiply
    7,762.88x = 10,715.47 × 4,619.00
  4. Step 4: Simplify right side
    7,762.88x = 49,494,690.81
  5. Step 5: Solve for x
    x = 49,494,690.81/7,762.88
  6. Step 6: Final answer
    x = 6,375.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.