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Finding the Fourth Proportional to 9,415.93, 12,989.87 and 5,829.93

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Solution

The fourth proportional to 9,415.93, 12,989.87 and 5,829.93 is: 8,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.93 : 12,989.87 = 5,829.93 : x
  2. Step 2: Convert to fraction form
    9,415.93/12,989.87 = 5,829.93/x
  3. Step 3: Cross multiply
    9,415.93x = 12,989.87 × 5,829.93
  4. Step 4: Simplify right side
    9,415.93x = 75,730,032.81
  5. Step 5: Solve for x
    x = 75,730,032.81/9,415.93
  6. Step 6: Final answer
    x = 8,042.76

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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.