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Finding the Fourth Proportional to 8,762.70, 13,112.05 and 6,458.70

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Solution

The fourth proportional to 8,762.70, 13,112.05 and 6,458.70 is: 9,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.70 : 13,112.05 = 6,458.70 : x
  2. Step 2: Convert to fraction form
    8,762.70/13,112.05 = 6,458.70/x
  3. Step 3: Cross multiply
    8,762.70x = 13,112.05 × 6,458.70
  4. Step 4: Simplify right side
    8,762.70x = 84,686,797.34
  5. Step 5: Solve for x
    x = 84,686,797.34/8,762.70
  6. Step 6: Final answer
    x = 9,664.46

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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.