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Finding the Fourth Proportional to 2,985.72, 4,477.08 and 1,037.40

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Solution

The fourth proportional to 2,985.72, 4,477.08 and 1,037.40 is: 1,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.72 : 4,477.08 = 1,037.40 : x
  2. Step 2: Convert to fraction form
    2,985.72/4,477.08 = 1,037.40/x
  3. Step 3: Cross multiply
    2,985.72x = 4,477.08 × 1,037.40
  4. Step 4: Simplify right side
    2,985.72x = 4,644,522.79
  5. Step 5: Solve for x
    x = 4,644,522.79/2,985.72
  6. Step 6: Final answer
    x = 1,555.58

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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.