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Finding the Fourth Proportional to 10,489.98, 14,478.03 and 6,298.50

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Solution

The fourth proportional to 10,489.98, 14,478.03 and 6,298.50 is: 8,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.98 : 14,478.03 = 6,298.50 : x
  2. Step 2: Convert to fraction form
    10,489.98/14,478.03 = 6,298.50/x
  3. Step 3: Cross multiply
    10,489.98x = 14,478.03 × 6,298.50
  4. Step 4: Simplify right side
    10,489.98x = 91,189,871.96
  5. Step 5: Solve for x
    x = 91,189,871.96/10,489.98
  6. Step 6: Final answer
    x = 8,693.05

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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.