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Finding the Fourth Proportional to 9,713.60, 13,403.04 and 5,521.60

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Solution

The fourth proportional to 9,713.60, 13,403.04 and 5,521.60 is: 7,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.60 : 13,403.04 = 5,521.60 : x
  2. Step 2: Convert to fraction form
    9,713.60/13,403.04 = 5,521.60/x
  3. Step 3: Cross multiply
    9,713.60x = 13,403.04 × 5,521.60
  4. Step 4: Simplify right side
    9,713.60x = 74,006,225.66
  5. Step 5: Solve for x
    x = 74,006,225.66/9,713.60
  6. Step 6: Final answer
    x = 7,618.83

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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.