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Finding the Fourth Proportional to 9,988, 13,785.92 and 5,798.72

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Solution

The fourth proportional to 9,988, 13,785.92 and 5,798.72 is: 8,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988 : 13,785.92 = 5,798.72 : x
  2. Step 2: Convert to fraction form
    9,988/13,785.92 = 5,798.72/x
  3. Step 3: Cross multiply
    9,988x = 13,785.92 × 5,798.72
  4. Step 4: Simplify right side
    9,988x = 79,940,690.02
  5. Step 5: Solve for x
    x = 79,940,690.02/9,988
  6. Step 6: Final answer
    x = 8,003.67

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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.