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Finding the Fourth Proportional to 9,894.74, 13,653.47 and 5,645.55

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Solution

The fourth proportional to 9,894.74, 13,653.47 and 5,645.55 is: 7,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.74 : 13,653.47 = 5,645.55 : x
  2. Step 2: Convert to fraction form
    9,894.74/13,653.47 = 5,645.55/x
  3. Step 3: Cross multiply
    9,894.74x = 13,653.47 × 5,645.55
  4. Step 4: Simplify right side
    9,894.74x = 77,081,319.33
  5. Step 5: Solve for x
    x = 77,081,319.33/9,894.74
  6. Step 6: Final answer
    x = 7,790.13

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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.