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Finding the Fourth Proportional to 3,031.47, 4,549.03 and 1,300.10

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Solution

The fourth proportional to 3,031.47, 4,549.03 and 1,300.10 is: 1,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.47 : 4,549.03 = 1,300.10 : x
  2. Step 2: Convert to fraction form
    3,031.47/4,549.03 = 1,300.10/x
  3. Step 3: Cross multiply
    3,031.47x = 4,549.03 × 1,300.10
  4. Step 4: Simplify right side
    3,031.47x = 5,914,193.90
  5. Step 5: Solve for x
    x = 5,914,193.90/3,031.47
  6. Step 6: Final answer
    x = 1,950.93

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