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Finding the Fourth Proportional to 12,547.99, 18,816.03 and 7,284.62

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Solution

The fourth proportional to 12,547.99, 18,816.03 and 7,284.62 is: 10,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.99 : 18,816.03 = 7,284.62 : x
  2. Step 2: Convert to fraction form
    12,547.99/18,816.03 = 7,284.62/x
  3. Step 3: Cross multiply
    12,547.99x = 18,816.03 × 7,284.62
  4. Step 4: Simplify right side
    12,547.99x = 137,067,628.46
  5. Step 5: Solve for x
    x = 137,067,628.46/12,547.99
  6. Step 6: Final answer
    x = 10,923.47

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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.