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Finding the Fourth Proportional to 1,584.90, 2,365.90 and 1,390.50

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Solution

The fourth proportional to 1,584.90, 2,365.90 and 1,390.50 is: 2,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.90 : 2,365.90 = 1,390.50 : x
  2. Step 2: Convert to fraction form
    1,584.90/2,365.90 = 1,390.50/x
  3. Step 3: Cross multiply
    1,584.90x = 2,365.90 × 1,390.50
  4. Step 4: Simplify right side
    1,584.90x = 3,289,780.47
  5. Step 5: Solve for x
    x = 3,289,780.47/1,584.90
  6. Step 6: Final answer
    x = 2,075.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.