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Finding the Fourth Proportional to 1,459.34, 2,012.48 and 981.87

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Solution

The fourth proportional to 1,459.34, 2,012.48 and 981.87 is: 1,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.34 : 2,012.48 = 981.87 : x
  2. Step 2: Convert to fraction form
    1,459.34/2,012.48 = 981.87/x
  3. Step 3: Cross multiply
    1,459.34x = 2,012.48 × 981.87
  4. Step 4: Simplify right side
    1,459.34x = 1,975,984.96
  5. Step 5: Solve for x
    x = 1,975,984.96/1,459.34
  6. Step 6: Final answer
    x = 1,354.03

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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.