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Finding the Fourth Proportional to 1,752.76, 2,419.50 and 1,054

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Solution

The fourth proportional to 1,752.76, 2,419.50 and 1,054 is: 1,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.76 : 2,419.50 = 1,054 : x
  2. Step 2: Convert to fraction form
    1,752.76/2,419.50 = 1,054/x
  3. Step 3: Cross multiply
    1,752.76x = 2,419.50 × 1,054
  4. Step 4: Simplify right side
    1,752.76x = 2,550,153
  5. Step 5: Solve for x
    x = 2,550,153/1,752.76
  6. Step 6: Final answer
    x = 1,454.94

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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.