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Finding the Fourth Proportional to 25,853, 38,779.50 and 7,385

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Solution

The fourth proportional to 25,853, 38,779.50 and 7,385 is: 11,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853 : 38,779.50 = 7,385 : x
  2. Step 2: Convert to fraction form
    25,853/38,779.50 = 7,385/x
  3. Step 3: Cross multiply
    25,853x = 38,779.50 × 7,385
  4. Step 4: Simplify right side
    25,853x = 286,386,607.50
  5. Step 5: Solve for x
    x = 286,386,607.50/25,853
  6. Step 6: Final answer
    x = 11,077.50

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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.