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Finding the Fourth Proportional to 25,599.17, 38,398.95 and 7,830.20

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Solution

The fourth proportional to 25,599.17, 38,398.95 and 7,830.20 is: 11,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,599.17 : 38,398.95 = 7,830.20 : x
  2. Step 2: Convert to fraction form
    25,599.17/38,398.95 = 7,830.20/x
  3. Step 3: Cross multiply
    25,599.17x = 38,398.95 × 7,830.20
  4. Step 4: Simplify right side
    25,599.17x = 300,671,266.30
  5. Step 5: Solve for x
    x = 300,671,266.30/25,599.17
  6. Step 6: Final answer
    x = 11,745.35

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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.