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Finding the Fourth Proportional to 10,000.54, 13,800.84 and 6,980.05

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Solution

The fourth proportional to 10,000.54, 13,800.84 and 6,980.05 is: 9,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.54 : 13,800.84 = 6,980.05 : x
  2. Step 2: Convert to fraction form
    10,000.54/13,800.84 = 6,980.05/x
  3. Step 3: Cross multiply
    10,000.54x = 13,800.84 × 6,980.05
  4. Step 4: Simplify right side
    10,000.54x = 96,330,484.24
  5. Step 5: Solve for x
    x = 96,330,484.24/10,000.54
  6. Step 6: Final answer
    x = 9,632.53

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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.