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Finding the Fourth Proportional to 13,438.94, 18,543.03 and 7,848.86

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Solution

The fourth proportional to 13,438.94, 18,543.03 and 7,848.86 is: 10,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.94 : 18,543.03 = 7,848.86 : x
  2. Step 2: Convert to fraction form
    13,438.94/18,543.03 = 7,848.86/x
  3. Step 3: Cross multiply
    13,438.94x = 18,543.03 × 7,848.86
  4. Step 4: Simplify right side
    13,438.94x = 145,541,646.45
  5. Step 5: Solve for x
    x = 145,541,646.45/13,438.94
  6. Step 6: Final answer
    x = 10,829.85

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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.