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Finding the Fourth Proportional to 7,801.97, 11,701.80 and 2,870.51

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Solution

The fourth proportional to 7,801.97, 11,701.80 and 2,870.51 is: 4,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.97 : 11,701.80 = 2,870.51 : x
  2. Step 2: Convert to fraction form
    7,801.97/11,701.80 = 2,870.51/x
  3. Step 3: Cross multiply
    7,801.97x = 11,701.80 × 2,870.51
  4. Step 4: Simplify right side
    7,801.97x = 33,590,075.41
  5. Step 5: Solve for x
    x = 33,590,075.41/7,801.97
  6. Step 6: Final answer
    x = 4,305.34

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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.