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Finding the Fourth Proportional to 9,678.54, 13,357.10 and 5,430.08

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Solution

The fourth proportional to 9,678.54, 13,357.10 and 5,430.08 is: 7,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.54 : 13,357.10 = 5,430.08 : x
  2. Step 2: Convert to fraction form
    9,678.54/13,357.10 = 5,430.08/x
  3. Step 3: Cross multiply
    9,678.54x = 13,357.10 × 5,430.08
  4. Step 4: Simplify right side
    9,678.54x = 72,530,121.57
  5. Step 5: Solve for x
    x = 72,530,121.57/9,678.54
  6. Step 6: Final answer
    x = 7,493.91

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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.