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Finding the Fourth Proportional to 1,581.49, 2,368.95 and 1,526.50

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Solution

The fourth proportional to 1,581.49, 2,368.95 and 1,526.50 is: 2,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.49 : 2,368.95 = 1,526.50 : x
  2. Step 2: Convert to fraction form
    1,581.49/2,368.95 = 1,526.50/x
  3. Step 3: Cross multiply
    1,581.49x = 2,368.95 × 1,526.50
  4. Step 4: Simplify right side
    1,581.49x = 3,616,202.18
  5. Step 5: Solve for x
    x = 3,616,202.18/1,581.49
  6. Step 6: Final answer
    x = 2,286.58

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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.