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Finding the Fourth Proportional to 13,699, 18,897.06 and 9,214.84

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Solution

The fourth proportional to 13,699, 18,897.06 and 9,214.84 is: 12,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699 : 18,897.06 = 9,214.84 : x
  2. Step 2: Convert to fraction form
    13,699/18,897.06 = 9,214.84/x
  3. Step 3: Cross multiply
    13,699x = 18,897.06 × 9,214.84
  4. Step 4: Simplify right side
    13,699x = 174,133,384.37
  5. Step 5: Solve for x
    x = 174,133,384.37/13,699
  6. Step 6: Final answer
    x = 12,711.39

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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.