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Finding the Fourth Proportional to 8,762.10, 13,190.74 and 7,858

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Solution

The fourth proportional to 8,762.10, 13,190.74 and 7,858 is: 11,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.10 : 13,190.74 = 7,858 : x
  2. Step 2: Convert to fraction form
    8,762.10/13,190.74 = 7,858/x
  3. Step 3: Cross multiply
    8,762.10x = 13,190.74 × 7,858
  4. Step 4: Simplify right side
    8,762.10x = 103,652,834.92
  5. Step 5: Solve for x
    x = 103,652,834.92/8,762.10
  6. Step 6: Final answer
    x = 11,829.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.