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Finding the Fourth Proportional to 9,702.84, 14,566.56 and 8,079.24

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Solution

The fourth proportional to 9,702.84, 14,566.56 and 8,079.24 is: 12,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.84 : 14,566.56 = 8,079.24 : x
  2. Step 2: Convert to fraction form
    9,702.84/14,566.56 = 8,079.24/x
  3. Step 3: Cross multiply
    9,702.84x = 14,566.56 × 8,079.24
  4. Step 4: Simplify right side
    9,702.84x = 117,686,734.21
  5. Step 5: Solve for x
    x = 117,686,734.21/9,702.84
  6. Step 6: Final answer
    x = 12,129.10

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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.