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Finding the Fourth Proportional to 11,885.40, 16,402.08 and 7,110.26

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Solution

The fourth proportional to 11,885.40, 16,402.08 and 7,110.26 is: 9,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.40 : 16,402.08 = 7,110.26 : x
  2. Step 2: Convert to fraction form
    11,885.40/16,402.08 = 7,110.26/x
  3. Step 3: Cross multiply
    11,885.40x = 16,402.08 × 7,110.26
  4. Step 4: Simplify right side
    11,885.40x = 116,623,053.34
  5. Step 5: Solve for x
    x = 116,623,053.34/11,885.40
  6. Step 6: Final answer
    x = 9,812.30

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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.