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Finding the Fourth Proportional to 4,573.76, 6,860.64 and 1,111

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Solution

The fourth proportional to 4,573.76, 6,860.64 and 1,111 is: 1,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.76 : 6,860.64 = 1,111 : x
  2. Step 2: Convert to fraction form
    4,573.76/6,860.64 = 1,111/x
  3. Step 3: Cross multiply
    4,573.76x = 6,860.64 × 1,111
  4. Step 4: Simplify right side
    4,573.76x = 7,622,171.04
  5. Step 5: Solve for x
    x = 7,622,171.04/4,573.76
  6. Step 6: Final answer
    x = 1,666.50

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1.5x scale

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.