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Finding the Fourth Proportional to 28,497.40, 42,751.12 and 9,779.42

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Solution

The fourth proportional to 28,497.40, 42,751.12 and 9,779.42 is: 14,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,497.40 : 42,751.12 = 9,779.42 : x
  2. Step 2: Convert to fraction form
    28,497.40/42,751.12 = 9,779.42/x
  3. Step 3: Cross multiply
    28,497.40x = 42,751.12 × 9,779.42
  4. Step 4: Simplify right side
    28,497.40x = 418,081,157.95
  5. Step 5: Solve for x
    x = 418,081,157.95/28,497.40
  6. Step 6: Final answer
    x = 14,670.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.