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Finding the Fourth Proportional to 13,775.30, 19,009.71 and 7,806.86

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Solution

The fourth proportional to 13,775.30, 19,009.71 and 7,806.86 is: 10,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.30 : 19,009.71 = 7,806.86 : x
  2. Step 2: Convert to fraction form
    13,775.30/19,009.71 = 7,806.86/x
  3. Step 3: Cross multiply
    13,775.30x = 19,009.71 × 7,806.86
  4. Step 4: Simplify right side
    13,775.30x = 148,406,144.61
  5. Step 5: Solve for x
    x = 148,406,144.61/13,775.30
  6. Step 6: Final answer
    x = 10,773.35

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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.