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Finding the Fourth Proportional to 9,678.64, 13,364.16 and 7,784.12

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Solution

The fourth proportional to 9,678.64, 13,364.16 and 7,784.12 is: 10,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.64 : 13,364.16 = 7,784.12 : x
  2. Step 2: Convert to fraction form
    9,678.64/13,364.16 = 7,784.12/x
  3. Step 3: Cross multiply
    9,678.64x = 13,364.16 × 7,784.12
  4. Step 4: Simplify right side
    9,678.64x = 104,028,225.14
  5. Step 5: Solve for x
    x = 104,028,225.14/9,678.64
  6. Step 6: Final answer
    x = 10,748.23

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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.