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Finding the Fourth Proportional to 25,312.72, 37,972.70 and 7,784.02

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Solution

The fourth proportional to 25,312.72, 37,972.70 and 7,784.02 is: 11,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.72 : 37,972.70 = 7,784.02 : x
  2. Step 2: Convert to fraction form
    25,312.72/37,972.70 = 7,784.02/x
  3. Step 3: Cross multiply
    25,312.72x = 37,972.70 × 7,784.02
  4. Step 4: Simplify right side
    25,312.72x = 295,580,256.25
  5. Step 5: Solve for x
    x = 295,580,256.25/25,312.72
  6. Step 6: Final answer
    x = 11,677.14

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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.