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Finding the Fourth Proportional to 5,003.47, 7,510.07 and 4,090.20

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Solution

The fourth proportional to 5,003.47, 7,510.07 and 4,090.20 is: 6,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.47 : 7,510.07 = 4,090.20 : x
  2. Step 2: Convert to fraction form
    5,003.47/7,510.07 = 4,090.20/x
  3. Step 3: Cross multiply
    5,003.47x = 7,510.07 × 4,090.20
  4. Step 4: Simplify right side
    5,003.47x = 30,717,688.31
  5. Step 5: Solve for x
    x = 30,717,688.31/5,003.47
  6. Step 6: Final answer
    x = 6,139.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.