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Finding the Fourth Proportional to 1,019.89, 1,538.95 and 1,019.89

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Solution

The fourth proportional to 1,019.89, 1,538.95 and 1,019.89 is: 1,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.89 : 1,538.95 = 1,019.89 : x
  2. Step 2: Convert to fraction form
    1,019.89/1,538.95 = 1,019.89/x
  3. Step 3: Cross multiply
    1,019.89x = 1,538.95 × 1,019.89
  4. Step 4: Simplify right side
    1,019.89x = 1,569,546.92
  5. Step 5: Solve for x
    x = 1,569,546.92/1,019.89
  6. Step 6: Final answer
    x = 1,538.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.