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Finding the Fourth Proportional to 9,774.86, 13,489.31 and 5,298.61

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Solution

The fourth proportional to 9,774.86, 13,489.31 and 5,298.61 is: 7,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.86 : 13,489.31 = 5,298.61 : x
  2. Step 2: Convert to fraction form
    9,774.86/13,489.31 = 5,298.61/x
  3. Step 3: Cross multiply
    9,774.86x = 13,489.31 × 5,298.61
  4. Step 4: Simplify right side
    9,774.86x = 71,474,538.66
  5. Step 5: Solve for x
    x = 71,474,538.66/9,774.86
  6. Step 6: Final answer
    x = 7,312.08

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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.