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Finding the Fourth Proportional to 9,779.92, 13,496.30 and 5,803

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Solution

The fourth proportional to 9,779.92, 13,496.30 and 5,803 is: 8,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.92 : 13,496.30 = 5,803 : x
  2. Step 2: Convert to fraction form
    9,779.92/13,496.30 = 5,803/x
  3. Step 3: Cross multiply
    9,779.92x = 13,496.30 × 5,803
  4. Step 4: Simplify right side
    9,779.92x = 78,319,028.90
  5. Step 5: Solve for x
    x = 78,319,028.90/9,779.92
  6. Step 6: Final answer
    x = 8,008.15

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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.