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Finding the Fourth Proportional to 9,204.78, 12,703.11 and 5,430.15

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Solution

The fourth proportional to 9,204.78, 12,703.11 and 5,430.15 is: 7,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.78 : 12,703.11 = 5,430.15 : x
  2. Step 2: Convert to fraction form
    9,204.78/12,703.11 = 5,430.15/x
  3. Step 3: Cross multiply
    9,204.78x = 12,703.11 × 5,430.15
  4. Step 4: Simplify right side
    9,204.78x = 68,979,792.77
  5. Step 5: Solve for x
    x = 68,979,792.77/9,204.78
  6. Step 6: Final answer
    x = 7,493.91

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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.