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Finding the Fourth Proportional to 9,894.78, 13,656.06 and 5,703.06

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Solution

The fourth proportional to 9,894.78, 13,656.06 and 5,703.06 is: 7,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.78 : 13,656.06 = 5,703.06 : x
  2. Step 2: Convert to fraction form
    9,894.78/13,656.06 = 5,703.06/x
  3. Step 3: Cross multiply
    9,894.78x = 13,656.06 × 5,703.06
  4. Step 4: Simplify right side
    9,894.78x = 77,881,329.54
  5. Step 5: Solve for x
    x = 77,881,329.54/9,894.78
  6. Step 6: Final answer
    x = 7,870.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.