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Finding the Fourth Proportional to 25,070, 34,588 and 14,307.20

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Solution

The fourth proportional to 25,070, 34,588 and 14,307.20 is: 19,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,070 : 34,588 = 14,307.20 : x
  2. Step 2: Convert to fraction form
    25,070/34,588 = 14,307.20/x
  3. Step 3: Cross multiply
    25,070x = 34,588 × 14,307.20
  4. Step 4: Simplify right side
    25,070x = 494,857,433.60
  5. Step 5: Solve for x
    x = 494,857,433.60/25,070
  6. Step 6: Final answer
    x = 19,739.03

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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.