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Finding the Fourth Proportional to 25,699, 35,464.62 and 14,521

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Solution

The fourth proportional to 25,699, 35,464.62 and 14,521 is: 20,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699 : 35,464.62 = 14,521 : x
  2. Step 2: Convert to fraction form
    25,699/35,464.62 = 14,521/x
  3. Step 3: Cross multiply
    25,699x = 35,464.62 × 14,521
  4. Step 4: Simplify right side
    25,699x = 514,981,747.02
  5. Step 5: Solve for x
    x = 514,981,747.02/25,699
  6. Step 6: Final answer
    x = 20,038.98

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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.