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Finding the Fourth Proportional to 1,537, 2,121.24 and 916

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Solution

The fourth proportional to 1,537, 2,121.24 and 916 is: 1,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537 : 2,121.24 = 916 : x
  2. Step 2: Convert to fraction form
    1,537/2,121.24 = 916/x
  3. Step 3: Cross multiply
    1,537x = 2,121.24 × 916
  4. Step 4: Simplify right side
    1,537x = 1,943,055.84
  5. Step 5: Solve for x
    x = 1,943,055.84/1,537
  6. Step 6: Final answer
    x = 1,264.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.