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Finding the Fourth Proportional to 2,590.78, 3,888.42 and 1,710.82

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Solution

The fourth proportional to 2,590.78, 3,888.42 and 1,710.82 is: 2,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.78 : 3,888.42 = 1,710.82 : x
  2. Step 2: Convert to fraction form
    2,590.78/3,888.42 = 1,710.82/x
  3. Step 3: Cross multiply
    2,590.78x = 3,888.42 × 1,710.82
  4. Step 4: Simplify right side
    2,590.78x = 6,652,386.70
  5. Step 5: Solve for x
    x = 6,652,386.70/2,590.78
  6. Step 6: Final answer
    x = 2,567.72

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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.