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Finding the Fourth Proportional to 12,952.78, 19,429.17 and 8,364.94

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Solution

The fourth proportional to 12,952.78, 19,429.17 and 8,364.94 is: 12,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.78 : 19,429.17 = 8,364.94 : x
  2. Step 2: Convert to fraction form
    12,952.78/19,429.17 = 8,364.94/x
  3. Step 3: Cross multiply
    12,952.78x = 19,429.17 × 8,364.94
  4. Step 4: Simplify right side
    12,952.78x = 162,523,841.30
  5. Step 5: Solve for x
    x = 162,523,841.30/12,952.78
  6. Step 6: Final answer
    x = 12,547.41

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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.