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Finding the Fourth Proportional to 8,525.76, 12,776.59 and 6,415.99

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Solution

The fourth proportional to 8,525.76, 12,776.59 and 6,415.99 is: 9,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.76 : 12,776.59 = 6,415.99 : x
  2. Step 2: Convert to fraction form
    8,525.76/12,776.59 = 6,415.99/x
  3. Step 3: Cross multiply
    8,525.76x = 12,776.59 × 6,415.99
  4. Step 4: Simplify right side
    8,525.76x = 81,974,377.71
  5. Step 5: Solve for x
    x = 81,974,377.71/8,525.76
  6. Step 6: Final answer
    x = 9,614.91

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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.