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Finding the Fourth Proportional to 8,755.68, 13,075.80 and 7,788

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Solution

The fourth proportional to 8,755.68, 13,075.80 and 7,788 is: 11,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,755.68 : 13,075.80 = 7,788 : x
  2. Step 2: Convert to fraction form
    8,755.68/13,075.80 = 7,788/x
  3. Step 3: Cross multiply
    8,755.68x = 13,075.80 × 7,788
  4. Step 4: Simplify right side
    8,755.68x = 101,834,330.40
  5. Step 5: Solve for x
    x = 101,834,330.40/8,755.68
  6. Step 6: Final answer
    x = 11,630.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.