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Finding the Fourth Proportional to 9,898.50, 13,659.93 and 5,482.50

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Solution

The fourth proportional to 9,898.50, 13,659.93 and 5,482.50 is: 7,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.50 : 13,659.93 = 5,482.50 : x
  2. Step 2: Convert to fraction form
    9,898.50/13,659.93 = 5,482.50/x
  3. Step 3: Cross multiply
    9,898.50x = 13,659.93 × 5,482.50
  4. Step 4: Simplify right side
    9,898.50x = 74,890,566.23
  5. Step 5: Solve for x
    x = 74,890,566.23/9,898.50
  6. Step 6: Final answer
    x = 7,565.85

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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.