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Finding the Fourth Proportional to 11,075.94, 15,283.35 and 6,829.20

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Solution

The fourth proportional to 11,075.94, 15,283.35 and 6,829.20 is: 9,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.94 : 15,283.35 = 6,829.20 : x
  2. Step 2: Convert to fraction form
    11,075.94/15,283.35 = 6,829.20/x
  3. Step 3: Cross multiply
    11,075.94x = 15,283.35 × 6,829.20
  4. Step 4: Simplify right side
    11,075.94x = 104,373,053.82
  5. Step 5: Solve for x
    x = 104,373,053.82/11,075.94
  6. Step 6: Final answer
    x = 9,423.40

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1.5x scale

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.