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Finding the Fourth Proportional to 7,031.93, 9,702.45 and 4,047.21

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Solution

The fourth proportional to 7,031.93, 9,702.45 and 4,047.21 is: 5,584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.93 : 9,702.45 = 4,047.21 : x
  2. Step 2: Convert to fraction form
    7,031.93/9,702.45 = 4,047.21/x
  3. Step 3: Cross multiply
    7,031.93x = 9,702.45 × 4,047.21
  4. Step 4: Simplify right side
    7,031.93x = 39,267,852.66
  5. Step 5: Solve for x
    x = 39,267,852.66/7,031.93
  6. Step 6: Final answer
    x = 5,584.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.