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Finding the Fourth Proportional to 9,005.95, 13,509.12 and 7,158.34

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Solution

The fourth proportional to 9,005.95, 13,509.12 and 7,158.34 is: 10,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.95 : 13,509.12 = 7,158.34 : x
  2. Step 2: Convert to fraction form
    9,005.95/13,509.12 = 7,158.34/x
  3. Step 3: Cross multiply
    9,005.95x = 13,509.12 × 7,158.34
  4. Step 4: Simplify right side
    9,005.95x = 96,702,874.06
  5. Step 5: Solve for x
    x = 96,702,874.06/9,005.95
  6. Step 6: Final answer
    x = 10,737.66

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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.