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Finding the Fourth Proportional to 7,005.77, 10,510.17 and 2,075.78

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Solution

The fourth proportional to 7,005.77, 10,510.17 and 2,075.78 is: 3,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.77 : 10,510.17 = 2,075.78 : x
  2. Step 2: Convert to fraction form
    7,005.77/10,510.17 = 2,075.78/x
  3. Step 3: Cross multiply
    7,005.77x = 10,510.17 × 2,075.78
  4. Step 4: Simplify right side
    7,005.77x = 21,816,748.13
  5. Step 5: Solve for x
    x = 21,816,748.13/7,005.77
  6. Step 6: Final answer
    x = 3,114.11

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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.