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Finding the Fourth Proportional to 8,574.53, 12,768.10 and 8,259.23

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Solution

The fourth proportional to 8,574.53, 12,768.10 and 8,259.23 is: 12,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.53 : 12,768.10 = 8,259.23 : x
  2. Step 2: Convert to fraction form
    8,574.53/12,768.10 = 8,259.23/x
  3. Step 3: Cross multiply
    8,574.53x = 12,768.10 × 8,259.23
  4. Step 4: Simplify right side
    8,574.53x = 105,454,685.84
  5. Step 5: Solve for x
    x = 105,454,685.84/8,574.53
  6. Step 6: Final answer
    x = 12,298.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.