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Finding the Fourth Proportional to 9,702.80, 13,375.74 and 7,714.16

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Solution

The fourth proportional to 9,702.80, 13,375.74 and 7,714.16 is: 10,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.80 : 13,375.74 = 7,714.16 : x
  2. Step 2: Convert to fraction form
    9,702.80/13,375.74 = 7,714.16/x
  3. Step 3: Cross multiply
    9,702.80x = 13,375.74 × 7,714.16
  4. Step 4: Simplify right side
    9,702.80x = 103,182,598.48
  5. Step 5: Solve for x
    x = 103,182,598.48/9,702.80
  6. Step 6: Final answer
    x = 10,634.31

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1.5x scale

Why These Related Problems?

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