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Finding the Fourth Proportional to 9,779.38, 13,492.01 and 6,424

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Solution

The fourth proportional to 9,779.38, 13,492.01 and 6,424 is: 8,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.38 : 13,492.01 = 6,424 : x
  2. Step 2: Convert to fraction form
    9,779.38/13,492.01 = 6,424/x
  3. Step 3: Cross multiply
    9,779.38x = 13,492.01 × 6,424
  4. Step 4: Simplify right side
    9,779.38x = 86,672,672.24
  5. Step 5: Solve for x
    x = 86,672,672.24/9,779.38
  6. Step 6: Final answer
    x = 8,862.80

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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.