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Finding the Fourth Proportional to 5,430.78, 7,494.45 and 2,946.78

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Solution

The fourth proportional to 5,430.78, 7,494.45 and 2,946.78 is: 4,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.78 : 7,494.45 = 2,946.78 : x
  2. Step 2: Convert to fraction form
    5,430.78/7,494.45 = 2,946.78/x
  3. Step 3: Cross multiply
    5,430.78x = 7,494.45 × 2,946.78
  4. Step 4: Simplify right side
    5,430.78x = 22,084,495.37
  5. Step 5: Solve for x
    x = 22,084,495.37/5,430.78
  6. Step 6: Final answer
    x = 4,066.54

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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.