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Finding the Fourth Proportional to 13,774.95, 19,009.02 and 7,807.17

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Solution

The fourth proportional to 13,774.95, 19,009.02 and 7,807.17 is: 10,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.95 : 19,009.02 = 7,807.17 : x
  2. Step 2: Convert to fraction form
    13,774.95/19,009.02 = 7,807.17/x
  3. Step 3: Cross multiply
    13,774.95x = 19,009.02 × 7,807.17
  4. Step 4: Simplify right side
    13,774.95x = 148,406,650.67
  5. Step 5: Solve for x
    x = 148,406,650.67/13,774.95
  6. Step 6: Final answer
    x = 10,773.66

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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.