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Finding the Fourth Proportional to 11,875.40, 17,813.10 and 5,731.40

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Solution

The fourth proportional to 11,875.40, 17,813.10 and 5,731.40 is: 8,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.40 : 17,813.10 = 5,731.40 : x
  2. Step 2: Convert to fraction form
    11,875.40/17,813.10 = 5,731.40/x
  3. Step 3: Cross multiply
    11,875.40x = 17,813.10 × 5,731.40
  4. Step 4: Simplify right side
    11,875.40x = 102,094,001.34
  5. Step 5: Solve for x
    x = 102,094,001.34/11,875.40
  6. Step 6: Final answer
    x = 8,597.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.