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Finding the Fourth Proportional to 2,547.10, 3,819.30 and 903.41

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Solution

The fourth proportional to 2,547.10, 3,819.30 and 903.41 is: 1,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.10 : 3,819.30 = 903.41 : x
  2. Step 2: Convert to fraction form
    2,547.10/3,819.30 = 903.41/x
  3. Step 3: Cross multiply
    2,547.10x = 3,819.30 × 903.41
  4. Step 4: Simplify right side
    2,547.10x = 3,450,393.81
  5. Step 5: Solve for x
    x = 3,450,393.81/2,547.10
  6. Step 6: Final answer
    x = 1,354.64

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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.