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Finding the Fourth Proportional to 9,702.19, 14,554.70 and 3,126.21

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Solution

The fourth proportional to 9,702.19, 14,554.70 and 3,126.21 is: 4,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.19 : 14,554.70 = 3,126.21 : x
  2. Step 2: Convert to fraction form
    9,702.19/14,554.70 = 3,126.21/x
  3. Step 3: Cross multiply
    9,702.19x = 14,554.70 × 3,126.21
  4. Step 4: Simplify right side
    9,702.19x = 45,501,048.69
  5. Step 5: Solve for x
    x = 45,501,048.69/9,702.19
  6. Step 6: Final answer
    x = 4,689.77

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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.