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Finding the Fourth Proportional to 8,485.71, 12,793.70 and 7,914.00

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Solution

The fourth proportional to 8,485.71, 12,793.70 and 7,914.00 is: 11,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.71 : 12,793.70 = 7,914.00 : x
  2. Step 2: Convert to fraction form
    8,485.71/12,793.70 = 7,914.00/x
  3. Step 3: Cross multiply
    8,485.71x = 12,793.70 × 7,914.00
  4. Step 4: Simplify right side
    8,485.71x = 101,249,365.05
  5. Step 5: Solve for x
    x = 101,249,365.05/8,485.71
  6. Step 6: Final answer
    x = 11,931.75

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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.