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Finding the Fourth Proportional to 2,075.86, 3,113.40 and 614.69

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Solution

The fourth proportional to 2,075.86, 3,113.40 and 614.69 is: 921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.86 : 3,113.40 = 614.69 : x
  2. Step 2: Convert to fraction form
    2,075.86/3,113.40 = 614.69/x
  3. Step 3: Cross multiply
    2,075.86x = 3,113.40 × 614.69
  4. Step 4: Simplify right side
    2,075.86x = 1,913,774.26
  5. Step 5: Solve for x
    x = 1,913,774.26/2,075.86
  6. Step 6: Final answer
    x = 921.92

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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.