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Finding the Fourth Proportional to 11,547.78, 15,942.06 and 8,889.36

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Solution

The fourth proportional to 11,547.78, 15,942.06 and 8,889.36 is: 12,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.78 : 15,942.06 = 8,889.36 : x
  2. Step 2: Convert to fraction form
    11,547.78/15,942.06 = 8,889.36/x
  3. Step 3: Cross multiply
    11,547.78x = 15,942.06 × 8,889.36
  4. Step 4: Simplify right side
    11,547.78x = 141,714,710.48
  5. Step 5: Solve for x
    x = 141,714,710.48/11,547.78
  6. Step 6: Final answer
    x = 12,272.03

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1.5x scale

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.