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Finding the Fourth Proportional to 2,477.18, 3,714.68 and 745.40

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Solution

The fourth proportional to 2,477.18, 3,714.68 and 745.40 is: 1,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.18 : 3,714.68 = 745.40 : x
  2. Step 2: Convert to fraction form
    2,477.18/3,714.68 = 745.40/x
  3. Step 3: Cross multiply
    2,477.18x = 3,714.68 × 745.40
  4. Step 4: Simplify right side
    2,477.18x = 2,768,900.17
  5. Step 5: Solve for x
    x = 2,768,900.17/2,477.18
  6. Step 6: Final answer
    x = 1,117.77

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1.5x scale

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.