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Finding the Fourth Proportional to 4,897.72, 7,345.94 and 1,777.40

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Solution

The fourth proportional to 4,897.72, 7,345.94 and 1,777.40 is: 2,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.72 : 7,345.94 = 1,777.40 : x
  2. Step 2: Convert to fraction form
    4,897.72/7,345.94 = 1,777.40/x
  3. Step 3: Cross multiply
    4,897.72x = 7,345.94 × 1,777.40
  4. Step 4: Simplify right side
    4,897.72x = 13,056,673.76
  5. Step 5: Solve for x
    x = 13,056,673.76/4,897.72
  6. Step 6: Final answer
    x = 2,665.87

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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.