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Finding the Fourth Proportional to 30,603, 45,860.70 and 17,428.14

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Solution

The fourth proportional to 30,603, 45,860.70 and 17,428.14 is: 26,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603 : 45,860.70 = 17,428.14 : x
  2. Step 2: Convert to fraction form
    30,603/45,860.70 = 17,428.14/x
  3. Step 3: Cross multiply
    30,603x = 45,860.70 × 17,428.14
  4. Step 4: Simplify right side
    30,603x = 799,266,700.10
  5. Step 5: Solve for x
    x = 799,266,700.10/30,603
  6. Step 6: Final answer
    x = 26,117.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.