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Finding the Fourth Proportional to 30,656, 45,984 and 8,768

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Solution

The fourth proportional to 30,656, 45,984 and 8,768 is: 13,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656 : 45,984 = 8,768 : x
  2. Step 2: Convert to fraction form
    30,656/45,984 = 8,768/x
  3. Step 3: Cross multiply
    30,656x = 45,984 × 8,768
  4. Step 4: Simplify right side
    30,656x = 403,187,712
  5. Step 5: Solve for x
    x = 403,187,712/30,656
  6. Step 6: Final answer
    x = 13,152

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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.