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Finding the Fourth Proportional to 25,616.80, 38,421.69 and 6,897.70

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Solution

The fourth proportional to 25,616.80, 38,421.69 and 6,897.70 is: 10,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.80 : 38,421.69 = 6,897.70 : x
  2. Step 2: Convert to fraction form
    25,616.80/38,421.69 = 6,897.70/x
  3. Step 3: Cross multiply
    25,616.80x = 38,421.69 × 6,897.70
  4. Step 4: Simplify right side
    25,616.80x = 265,021,291.11
  5. Step 5: Solve for x
    x = 265,021,291.11/25,616.80
  6. Step 6: Final answer
    x = 10,345.60

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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.