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Finding the Fourth Proportional to 1,588, 2,193.06 and 1,577.20

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Solution

The fourth proportional to 1,588, 2,193.06 and 1,577.20 is: 2,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588 : 2,193.06 = 1,577.20 : x
  2. Step 2: Convert to fraction form
    1,588/2,193.06 = 1,577.20/x
  3. Step 3: Cross multiply
    1,588x = 2,193.06 × 1,577.20
  4. Step 4: Simplify right side
    1,588x = 3,458,894.23
  5. Step 5: Solve for x
    x = 3,458,894.23/1,588
  6. Step 6: Final answer
    x = 2,178.14

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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.