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Finding the Fourth Proportional to 25,506, 38,264.40 and 7,977.14

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Solution

The fourth proportional to 25,506, 38,264.40 and 7,977.14 is: 11,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506 : 38,264.40 = 7,977.14 : x
  2. Step 2: Convert to fraction form
    25,506/38,264.40 = 7,977.14/x
  3. Step 3: Cross multiply
    25,506x = 38,264.40 × 7,977.14
  4. Step 4: Simplify right side
    25,506x = 305,240,475.82
  5. Step 5: Solve for x
    x = 305,240,475.82/25,506
  6. Step 6: Final answer
    x = 11,967.40

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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.