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Finding the Fourth Proportional to 9,415.68, 12,999.36 and 7,315.84

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Solution

The fourth proportional to 9,415.68, 12,999.36 and 7,315.84 is: 10,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.68 : 12,999.36 = 7,315.84 : x
  2. Step 2: Convert to fraction form
    9,415.68/12,999.36 = 7,315.84/x
  3. Step 3: Cross multiply
    9,415.68x = 12,999.36 × 7,315.84
  4. Step 4: Simplify right side
    9,415.68x = 95,101,237.86
  5. Step 5: Solve for x
    x = 95,101,237.86/9,415.68
  6. Step 6: Final answer
    x = 10,100.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.