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Finding the Fourth Proportional to 8,770.08, 12,088.56 and 8,046

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Solution

The fourth proportional to 8,770.08, 12,088.56 and 8,046 is: 11,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.08 : 12,088.56 = 8,046 : x
  2. Step 2: Convert to fraction form
    8,770.08/12,088.56 = 8,046/x
  3. Step 3: Cross multiply
    8,770.08x = 12,088.56 × 8,046
  4. Step 4: Simplify right side
    8,770.08x = 97,264,553.76
  5. Step 5: Solve for x
    x = 97,264,553.76/8,770.08
  6. Step 6: Final answer
    x = 11,090.50

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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.