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Finding the Fourth Proportional to 9,714.16, 13,409.88 and 7,475.20

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Solution

The fourth proportional to 9,714.16, 13,409.88 and 7,475.20 is: 10,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.16 : 13,409.88 = 7,475.20 : x
  2. Step 2: Convert to fraction form
    9,714.16/13,409.88 = 7,475.20/x
  3. Step 3: Cross multiply
    9,714.16x = 13,409.88 × 7,475.20
  4. Step 4: Simplify right side
    9,714.16x = 100,241,534.98
  5. Step 5: Solve for x
    x = 100,241,534.98/9,714.16
  6. Step 6: Final answer
    x = 10,319.12

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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.