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Finding the Fourth Proportional to 43,075.76, 64,613.64 and 11,911

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Solution

The fourth proportional to 43,075.76, 64,613.64 and 11,911 is: 17,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,075.76 : 64,613.64 = 11,911 : x
  2. Step 2: Convert to fraction form
    43,075.76/64,613.64 = 11,911/x
  3. Step 3: Cross multiply
    43,075.76x = 64,613.64 × 11,911
  4. Step 4: Simplify right side
    43,075.76x = 769,613,066.04
  5. Step 5: Solve for x
    x = 769,613,066.04/43,075.76
  6. Step 6: Final answer
    x = 17,866.50

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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.