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Finding the Fourth Proportional to 28,964, 43,446 and 7,076

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Solution

The fourth proportional to 28,964, 43,446 and 7,076 is: 10,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,964 : 43,446 = 7,076 : x
  2. Step 2: Convert to fraction form
    28,964/43,446 = 7,076/x
  3. Step 3: Cross multiply
    28,964x = 43,446 × 7,076
  4. Step 4: Simplify right side
    28,964x = 307,423,896
  5. Step 5: Solve for x
    x = 307,423,896/28,964
  6. Step 6: Final answer
    x = 10,614

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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.