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Finding the Fourth Proportional to 9,989.42, 13,779.87 and 7,009.70

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Solution

The fourth proportional to 9,989.42, 13,779.87 and 7,009.70 is: 9,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.42 : 13,779.87 = 7,009.70 : x
  2. Step 2: Convert to fraction form
    9,989.42/13,779.87 = 7,009.70/x
  3. Step 3: Cross multiply
    9,989.42x = 13,779.87 × 7,009.70
  4. Step 4: Simplify right side
    9,989.42x = 96,592,754.74
  5. Step 5: Solve for x
    x = 96,592,754.74/9,989.42
  6. Step 6: Final answer
    x = 9,669.51

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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.