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Finding the Fourth Proportional to 10,075.80, 13,905.90 and 7,717.08

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Solution

The fourth proportional to 10,075.80, 13,905.90 and 7,717.08 is: 10,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.80 : 13,905.90 = 7,717.08 : x
  2. Step 2: Convert to fraction form
    10,075.80/13,905.90 = 7,717.08/x
  3. Step 3: Cross multiply
    10,075.80x = 13,905.90 × 7,717.08
  4. Step 4: Simplify right side
    10,075.80x = 107,312,942.77
  5. Step 5: Solve for x
    x = 107,312,942.77/10,075.80
  6. Step 6: Final answer
    x = 10,650.56

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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.