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Finding the Fourth Proportional to 30,603.98, 45,897.06 and 12,834.16

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Solution

The fourth proportional to 30,603.98, 45,897.06 and 12,834.16 is: 19,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.98 : 45,897.06 = 12,834.16 : x
  2. Step 2: Convert to fraction form
    30,603.98/45,897.06 = 12,834.16/x
  3. Step 3: Cross multiply
    30,603.98x = 45,897.06 × 12,834.16
  4. Step 4: Simplify right side
    30,603.98x = 589,050,403.13
  5. Step 5: Solve for x
    x = 589,050,403.13/30,603.98
  6. Step 6: Final answer
    x = 19,247.51

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1.5x scale

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.