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Finding the Fourth Proportional to 1,776.30, 2,451.30 and 1,030.26

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Solution

The fourth proportional to 1,776.30, 2,451.30 and 1,030.26 is: 1,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.30 : 2,451.30 = 1,030.26 : x
  2. Step 2: Convert to fraction form
    1,776.30/2,451.30 = 1,030.26/x
  3. Step 3: Cross multiply
    1,776.30x = 2,451.30 × 1,030.26
  4. Step 4: Simplify right side
    1,776.30x = 2,525,476.34
  5. Step 5: Solve for x
    x = 2,525,476.34/1,776.30
  6. Step 6: Final answer
    x = 1,421.76

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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.