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Finding the Fourth Proportional to 30,098.90, 45,155.64 and 9,038.90

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Solution

The fourth proportional to 30,098.90, 45,155.64 and 9,038.90 is: 13,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.90 : 45,155.64 = 9,038.90 : x
  2. Step 2: Convert to fraction form
    30,098.90/45,155.64 = 9,038.90/x
  3. Step 3: Cross multiply
    30,098.90x = 45,155.64 × 9,038.90
  4. Step 4: Simplify right side
    30,098.90x = 408,157,314.40
  5. Step 5: Solve for x
    x = 408,157,314.40/30,098.90
  6. Step 6: Final answer
    x = 13,560.54

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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.