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Finding the Fourth Proportional to 1,140, 1,572.96 and 859.84

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Solution

The fourth proportional to 1,140, 1,572.96 and 859.84 is: 1,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140 : 1,572.96 = 859.84 : x
  2. Step 2: Convert to fraction form
    1,140/1,572.96 = 859.84/x
  3. Step 3: Cross multiply
    1,140x = 1,572.96 × 859.84
  4. Step 4: Simplify right side
    1,140x = 1,352,493.93
  5. Step 5: Solve for x
    x = 1,352,493.93/1,140
  6. Step 6: Final answer
    x = 1,186.40

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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.