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Finding the Fourth Proportional to 30,870.08, 46,307.12 and 12,402.08

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Solution

The fourth proportional to 30,870.08, 46,307.12 and 12,402.08 is: 18,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.08 : 46,307.12 = 12,402.08 : x
  2. Step 2: Convert to fraction form
    30,870.08/46,307.12 = 12,402.08/x
  3. Step 3: Cross multiply
    30,870.08x = 46,307.12 × 12,402.08
  4. Step 4: Simplify right side
    30,870.08x = 574,304,606.81
  5. Step 5: Solve for x
    x = 574,304,606.81/30,870.08
  6. Step 6: Final answer
    x = 18,603.92

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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.