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Finding the Fourth Proportional to 8,775.16, 12,105.64 and 5,047

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Solution

The fourth proportional to 8,775.16, 12,105.64 and 5,047 is: 6,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.16 : 12,105.64 = 5,047 : x
  2. Step 2: Convert to fraction form
    8,775.16/12,105.64 = 5,047/x
  3. Step 3: Cross multiply
    8,775.16x = 12,105.64 × 5,047
  4. Step 4: Simplify right side
    8,775.16x = 61,097,165.08
  5. Step 5: Solve for x
    x = 61,097,165.08/8,775.16
  6. Step 6: Final answer
    x = 6,962.51

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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.