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Finding the Fourth Proportional to 7,075, 9,763.86 and 3,931.48

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Solution

The fourth proportional to 7,075, 9,763.86 and 3,931.48 is: 5,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075 : 9,763.86 = 3,931.48 : x
  2. Step 2: Convert to fraction form
    7,075/9,763.86 = 3,931.48/x
  3. Step 3: Cross multiply
    7,075x = 9,763.86 × 3,931.48
  4. Step 4: Simplify right side
    7,075x = 38,386,420.31
  5. Step 5: Solve for x
    x = 38,386,420.31/7,075
  6. Step 6: Final answer
    x = 5,425.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.