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Finding the Fourth Proportional to 8,316.95, 12,409.98 and 8,035.07

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Solution

The fourth proportional to 8,316.95, 12,409.98 and 8,035.07 is: 11,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.95 : 12,409.98 = 8,035.07 : x
  2. Step 2: Convert to fraction form
    8,316.95/12,409.98 = 8,035.07/x
  3. Step 3: Cross multiply
    8,316.95x = 12,409.98 × 8,035.07
  4. Step 4: Simplify right side
    8,316.95x = 99,714,995.95
  5. Step 5: Solve for x
    x = 99,714,995.95/8,316.95
  6. Step 6: Final answer
    x = 11,989.38

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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.