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Finding the Fourth Proportional to 28,297, 42,465 and 9,829

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Solution

The fourth proportional to 28,297, 42,465 and 9,829 is: 14,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,297 : 42,465 = 9,829 : x
  2. Step 2: Convert to fraction form
    28,297/42,465 = 9,829/x
  3. Step 3: Cross multiply
    28,297x = 42,465 × 9,829
  4. Step 4: Simplify right side
    28,297x = 417,388,485
  5. Step 5: Solve for x
    x = 417,388,485/28,297
  6. Step 6: Final answer
    x = 14,750.27

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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.