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Finding the Fourth Proportional to 9,668.16, 13,314.24 and 7,888.32

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Solution

The fourth proportional to 9,668.16, 13,314.24 and 7,888.32 is: 10,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.16 : 13,314.24 = 7,888.32 : x
  2. Step 2: Convert to fraction form
    9,668.16/13,314.24 = 7,888.32/x
  3. Step 3: Cross multiply
    9,668.16x = 13,314.24 × 7,888.32
  4. Step 4: Simplify right side
    9,668.16x = 105,026,985.68
  5. Step 5: Solve for x
    x = 105,026,985.68/9,668.16
  6. Step 6: Final answer
    x = 10,863.18

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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.