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Finding the Fourth Proportional to 2,903.34, 4,355.10 and 712.06

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Solution

The fourth proportional to 2,903.34, 4,355.10 and 712.06 is: 1,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.34 : 4,355.10 = 712.06 : x
  2. Step 2: Convert to fraction form
    2,903.34/4,355.10 = 712.06/x
  3. Step 3: Cross multiply
    2,903.34x = 4,355.10 × 712.06
  4. Step 4: Simplify right side
    2,903.34x = 3,101,092.51
  5. Step 5: Solve for x
    x = 3,101,092.51/2,903.34
  6. Step 6: Final answer
    x = 1,068.11

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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.