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Finding the Fourth Proportional to 12,005.64, 16,547.95 and 8,025.30

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Solution

The fourth proportional to 12,005.64, 16,547.95 and 8,025.30 is: 11,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.64 : 16,547.95 = 8,025.30 : x
  2. Step 2: Convert to fraction form
    12,005.64/16,547.95 = 8,025.30/x
  3. Step 3: Cross multiply
    12,005.64x = 16,547.95 × 8,025.30
  4. Step 4: Simplify right side
    12,005.64x = 132,802,160.33
  5. Step 5: Solve for x
    x = 132,802,160.33/12,005.64
  6. Step 6: Final answer
    x = 11,061.65

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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.