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Finding the Fourth Proportional to 5,430, 7,493.40 and 2,946

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Solution

The fourth proportional to 5,430, 7,493.40 and 2,946 is: 4,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430 : 7,493.40 = 2,946 : x
  2. Step 2: Convert to fraction form
    5,430/7,493.40 = 2,946/x
  3. Step 3: Cross multiply
    5,430x = 7,493.40 × 2,946
  4. Step 4: Simplify right side
    5,430x = 22,075,556.40
  5. Step 5: Solve for x
    x = 22,075,556.40/5,430
  6. Step 6: Final answer
    x = 4,065.48

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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.