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Finding the Fourth Proportional to 3,430.89, 4,731.16 and 3,051.58

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Solution

The fourth proportional to 3,430.89, 4,731.16 and 3,051.58 is: 4,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.89 : 4,731.16 = 3,051.58 : x
  2. Step 2: Convert to fraction form
    3,430.89/4,731.16 = 3,051.58/x
  3. Step 3: Cross multiply
    3,430.89x = 4,731.16 × 3,051.58
  4. Step 4: Simplify right side
    3,430.89x = 14,437,511.52
  5. Step 5: Solve for x
    x = 14,437,511.52/3,430.89
  6. Step 6: Final answer
    x = 4,208.10

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1.5x scale

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.