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Finding the Fourth Proportional to 11,501.98, 15,874.05 and 6,398.01

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Solution

The fourth proportional to 11,501.98, 15,874.05 and 6,398.01 is: 8,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.98 : 15,874.05 = 6,398.01 : x
  2. Step 2: Convert to fraction form
    11,501.98/15,874.05 = 6,398.01/x
  3. Step 3: Cross multiply
    11,501.98x = 15,874.05 × 6,398.01
  4. Step 4: Simplify right side
    11,501.98x = 101,562,330.64
  5. Step 5: Solve for x
    x = 101,562,330.64/11,501.98
  6. Step 6: Final answer
    x = 8,829.99

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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.