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Finding the Fourth Proportional to 4,762.98, 7,128.95 and 4,308.30

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Solution

The fourth proportional to 4,762.98, 7,128.95 and 4,308.30 is: 6,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.98 : 7,128.95 = 4,308.30 : x
  2. Step 2: Convert to fraction form
    4,762.98/7,128.95 = 4,308.30/x
  3. Step 3: Cross multiply
    4,762.98x = 7,128.95 × 4,308.30
  4. Step 4: Simplify right side
    4,762.98x = 30,713,633.74
  5. Step 5: Solve for x
    x = 30,713,633.74/4,762.98
  6. Step 6: Final answer
    x = 6,448.41

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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.