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Finding the Fourth Proportional to 11,547, 17,321.40 and 4,152.42

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Solution

The fourth proportional to 11,547, 17,321.40 and 4,152.42 is: 6,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547 : 17,321.40 = 4,152.42 : x
  2. Step 2: Convert to fraction form
    11,547/17,321.40 = 4,152.42/x
  3. Step 3: Cross multiply
    11,547x = 17,321.40 × 4,152.42
  4. Step 4: Simplify right side
    11,547x = 71,925,727.79
  5. Step 5: Solve for x
    x = 71,925,727.79/11,547
  6. Step 6: Final answer
    x = 6,228.95

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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.