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Finding the Fourth Proportional to 8,902.50, 12,285.22 and 4,869.16

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Solution

The fourth proportional to 8,902.50, 12,285.22 and 4,869.16 is: 6,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.50 : 12,285.22 = 4,869.16 : x
  2. Step 2: Convert to fraction form
    8,902.50/12,285.22 = 4,869.16/x
  3. Step 3: Cross multiply
    8,902.50x = 12,285.22 × 4,869.16
  4. Step 4: Simplify right side
    8,902.50x = 59,818,701.82
  5. Step 5: Solve for x
    x = 59,818,701.82/8,902.50
  6. Step 6: Final answer
    x = 6,719.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.