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Finding the Fourth Proportional to 5,075.28, 7,612.92 and 1,913.32

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Solution

The fourth proportional to 5,075.28, 7,612.92 and 1,913.32 is: 2,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.28 : 7,612.92 = 1,913.32 : x
  2. Step 2: Convert to fraction form
    5,075.28/7,612.92 = 1,913.32/x
  3. Step 3: Cross multiply
    5,075.28x = 7,612.92 × 1,913.32
  4. Step 4: Simplify right side
    5,075.28x = 14,565,952.09
  5. Step 5: Solve for x
    x = 14,565,952.09/5,075.28
  6. Step 6: Final answer
    x = 2,869.98

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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.