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Finding the Fourth Proportional to 13,698.21, 18,897.51 and 8,030.08

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Solution

The fourth proportional to 13,698.21, 18,897.51 and 8,030.08 is: 11,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.21 : 18,897.51 = 8,030.08 : x
  2. Step 2: Convert to fraction form
    13,698.21/18,897.51 = 8,030.08/x
  3. Step 3: Cross multiply
    13,698.21x = 18,897.51 × 8,030.08
  4. Step 4: Simplify right side
    13,698.21x = 151,748,517.10
  5. Step 5: Solve for x
    x = 151,748,517.10/13,698.21
  6. Step 6: Final answer
    x = 11,077.98

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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.