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Finding the Fourth Proportional to 11,214.30, 16,802.55 and 8,865.30

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Solution

The fourth proportional to 11,214.30, 16,802.55 and 8,865.30 is: 13,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.30 : 16,802.55 = 8,865.30 : x
  2. Step 2: Convert to fraction form
    11,214.30/16,802.55 = 8,865.30/x
  3. Step 3: Cross multiply
    11,214.30x = 16,802.55 × 8,865.30
  4. Step 4: Simplify right side
    11,214.30x = 148,959,646.52
  5. Step 5: Solve for x
    x = 148,959,646.52/11,214.30
  6. Step 6: Final answer
    x = 13,283.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.