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Finding the Fourth Proportional to 9,187.84, 12,678.56 and 4,996

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Solution

The fourth proportional to 9,187.84, 12,678.56 and 4,996 is: 6,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.84 : 12,678.56 = 4,996 : x
  2. Step 2: Convert to fraction form
    9,187.84/12,678.56 = 4,996/x
  3. Step 3: Cross multiply
    9,187.84x = 12,678.56 × 4,996
  4. Step 4: Simplify right side
    9,187.84x = 63,342,085.76
  5. Step 5: Solve for x
    x = 63,342,085.76/9,187.84
  6. Step 6: Final answer
    x = 6,894.12

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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.