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Finding the Fourth Proportional to 1,401.76, 2,101.64 and 988.56

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Solution

The fourth proportional to 1,401.76, 2,101.64 and 988.56 is: 1,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.76 : 2,101.64 = 988.56 : x
  2. Step 2: Convert to fraction form
    1,401.76/2,101.64 = 988.56/x
  3. Step 3: Cross multiply
    1,401.76x = 2,101.64 × 988.56
  4. Step 4: Simplify right side
    1,401.76x = 2,077,597.24
  5. Step 5: Solve for x
    x = 2,077,597.24/1,401.76
  6. Step 6: Final answer
    x = 1,482.13

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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.