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Finding the Fourth Proportional to 11,875.82, 16,355.35 and 9,868.22

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Solution

The fourth proportional to 11,875.82, 16,355.35 and 9,868.22 is: 13,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.82 : 16,355.35 = 9,868.22 : x
  2. Step 2: Convert to fraction form
    11,875.82/16,355.35 = 9,868.22/x
  3. Step 3: Cross multiply
    11,875.82x = 16,355.35 × 9,868.22
  4. Step 4: Simplify right side
    11,875.82x = 161,398,208.19
  5. Step 5: Solve for x
    x = 161,398,208.19/11,875.82
  6. Step 6: Final answer
    x = 13,590.50

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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.