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Finding the Fourth Proportional to 7,284.84, 10,925.92 and 1,948.08

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Solution

The fourth proportional to 7,284.84, 10,925.92 and 1,948.08 is: 2,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.84 : 10,925.92 = 1,948.08 : x
  2. Step 2: Convert to fraction form
    7,284.84/10,925.92 = 1,948.08/x
  3. Step 3: Cross multiply
    7,284.84x = 10,925.92 × 1,948.08
  4. Step 4: Simplify right side
    7,284.84x = 21,284,609.64
  5. Step 5: Solve for x
    x = 21,284,609.64/7,284.84
  6. Step 6: Final answer
    x = 2,921.77

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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.