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Finding the Fourth Proportional to 13,775.72, 19,008.96 and 7,807.28

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Solution

The fourth proportional to 13,775.72, 19,008.96 and 7,807.28 is: 10,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.72 : 19,008.96 = 7,807.28 : x
  2. Step 2: Convert to fraction form
    13,775.72/19,008.96 = 7,807.28/x
  3. Step 3: Cross multiply
    13,775.72x = 19,008.96 × 7,807.28
  4. Step 4: Simplify right side
    13,775.72x = 148,408,273.23
  5. Step 5: Solve for x
    x = 148,408,273.23/13,775.72
  6. Step 6: Final answer
    x = 10,773.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.