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Finding the Fourth Proportional to 12,963.51, 19,421.76 and 5,949.39

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Solution

The fourth proportional to 12,963.51, 19,421.76 and 5,949.39 is: 8,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.51 : 19,421.76 = 5,949.39 : x
  2. Step 2: Convert to fraction form
    12,963.51/19,421.76 = 5,949.39/x
  3. Step 3: Cross multiply
    12,963.51x = 19,421.76 × 5,949.39
  4. Step 4: Simplify right side
    12,963.51x = 115,547,624.73
  5. Step 5: Solve for x
    x = 115,547,624.73/12,963.51
  6. Step 6: Final answer
    x = 8,913.30

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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.