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Finding the Fourth Proportional to 8,902.30, 13,358.09 and 6,457.30

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Solution

The fourth proportional to 8,902.30, 13,358.09 and 6,457.30 is: 9,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.30 : 13,358.09 = 6,457.30 : x
  2. Step 2: Convert to fraction form
    8,902.30/13,358.09 = 6,457.30/x
  3. Step 3: Cross multiply
    8,902.30x = 13,358.09 × 6,457.30
  4. Step 4: Simplify right side
    8,902.30x = 86,257,206.11
  5. Step 5: Solve for x
    x = 86,257,206.11/8,902.30
  6. Step 6: Final answer
    x = 9,689.32

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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.