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Finding the Fourth Proportional to 30,402.50, 45,603.50 and 9,342.50

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Solution

The fourth proportional to 30,402.50, 45,603.50 and 9,342.50 is: 14,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.50 : 45,603.50 = 9,342.50 : x
  2. Step 2: Convert to fraction form
    30,402.50/45,603.50 = 9,342.50/x
  3. Step 3: Cross multiply
    30,402.50x = 45,603.50 × 9,342.50
  4. Step 4: Simplify right side
    30,402.50x = 426,050,698.75
  5. Step 5: Solve for x
    x = 426,050,698.75/30,402.50
  6. Step 6: Final answer
    x = 14,013.67

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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.