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Finding the Fourth Proportional to 12,582, 17,356.68 and 9,400.32

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Solution

The fourth proportional to 12,582, 17,356.68 and 9,400.32 is: 12,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 17,356.68 = 9,400.32 : x
  2. Step 2: Convert to fraction form
    12,582/17,356.68 = 9,400.32/x
  3. Step 3: Cross multiply
    12,582x = 17,356.68 × 9,400.32
  4. Step 4: Simplify right side
    12,582x = 163,158,346.14
  5. Step 5: Solve for x
    x = 163,158,346.14/12,582
  6. Step 6: Final answer
    x = 12,967.60

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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.