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Finding the Fourth Proportional to 9,307.78, 12,844.86 and 5,116

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Solution

The fourth proportional to 9,307.78, 12,844.86 and 5,116 is: 7,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.78 : 12,844.86 = 5,116 : x
  2. Step 2: Convert to fraction form
    9,307.78/12,844.86 = 5,116/x
  3. Step 3: Cross multiply
    9,307.78x = 12,844.86 × 5,116
  4. Step 4: Simplify right side
    9,307.78x = 65,714,303.76
  5. Step 5: Solve for x
    x = 65,714,303.76/9,307.78
  6. Step 6: Final answer
    x = 7,060.15

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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.