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Finding the Fourth Proportional to 7,045.90, 9,723.34 and 3,902.10

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Solution

The fourth proportional to 7,045.90, 9,723.34 and 3,902.10 is: 5,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.90 : 9,723.34 = 3,902.10 : x
  2. Step 2: Convert to fraction form
    7,045.90/9,723.34 = 3,902.10/x
  3. Step 3: Cross multiply
    7,045.90x = 9,723.34 × 3,902.10
  4. Step 4: Simplify right side
    7,045.90x = 37,941,445.01
  5. Step 5: Solve for x
    x = 37,941,445.01/7,045.90
  6. Step 6: Final answer
    x = 5,384.90

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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.