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Finding the Fourth Proportional to 7,854.50, 11,836.90 and 7,075.40

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Solution

The fourth proportional to 7,854.50, 11,836.90 and 7,075.40 is: 10,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.50 : 11,836.90 = 7,075.40 : x
  2. Step 2: Convert to fraction form
    7,854.50/11,836.90 = 7,075.40/x
  3. Step 3: Cross multiply
    7,854.50x = 11,836.90 × 7,075.40
  4. Step 4: Simplify right side
    7,854.50x = 83,750,802.26
  5. Step 5: Solve for x
    x = 83,750,802.26/7,854.50
  6. Step 6: Final answer
    x = 10,662.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.