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Finding the Fourth Proportional to 2,031.78, 3,047.67 and 570.93

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Solution

The fourth proportional to 2,031.78, 3,047.67 and 570.93 is: 856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.78 : 3,047.67 = 570.93 : x
  2. Step 2: Convert to fraction form
    2,031.78/3,047.67 = 570.93/x
  3. Step 3: Cross multiply
    2,031.78x = 3,047.67 × 570.93
  4. Step 4: Simplify right side
    2,031.78x = 1,740,006.23
  5. Step 5: Solve for x
    x = 1,740,006.23/2,031.78
  6. Step 6: Final answer
    x = 856.40

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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.