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Finding the Fourth Proportional to 13,677, 18,875.76 and 7,710.12

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Solution

The fourth proportional to 13,677, 18,875.76 and 7,710.12 is: 10,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677 : 18,875.76 = 7,710.12 : x
  2. Step 2: Convert to fraction form
    13,677/18,875.76 = 7,710.12/x
  3. Step 3: Cross multiply
    13,677x = 18,875.76 × 7,710.12
  4. Step 4: Simplify right side
    13,677x = 145,534,374.69
  5. Step 5: Solve for x
    x = 145,534,374.69/13,677
  6. Step 6: Final answer
    x = 10,640.81

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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.