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Finding the Fourth Proportional to 25,452.66, 38,178.36 and 9,870.30

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Solution

The fourth proportional to 25,452.66, 38,178.36 and 9,870.30 is: 14,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,452.66 : 38,178.36 = 9,870.30 : x
  2. Step 2: Convert to fraction form
    25,452.66/38,178.36 = 9,870.30/x
  3. Step 3: Cross multiply
    25,452.66x = 38,178.36 × 9,870.30
  4. Step 4: Simplify right side
    25,452.66x = 376,831,866.71
  5. Step 5: Solve for x
    x = 376,831,866.71/25,452.66
  6. Step 6: Final answer
    x = 14,805.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.