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Finding the Fourth Proportional to 1,533.90, 2,284.74 and 1,515

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Solution

The fourth proportional to 1,533.90, 2,284.74 and 1,515 is: 2,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.90 : 2,284.74 = 1,515 : x
  2. Step 2: Convert to fraction form
    1,533.90/2,284.74 = 1,515/x
  3. Step 3: Cross multiply
    1,533.90x = 2,284.74 × 1,515
  4. Step 4: Simplify right side
    1,533.90x = 3,461,381.10
  5. Step 5: Solve for x
    x = 3,461,381.10/1,533.90
  6. Step 6: Final answer
    x = 2,256.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.