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Finding the Fourth Proportional to 23,000.70, 34,501.05 and 8,210.10

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Solution

The fourth proportional to 23,000.70, 34,501.05 and 8,210.10 is: 12,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.70 : 34,501.05 = 8,210.10 : x
  2. Step 2: Convert to fraction form
    23,000.70/34,501.05 = 8,210.10/x
  3. Step 3: Cross multiply
    23,000.70x = 34,501.05 × 8,210.10
  4. Step 4: Simplify right side
    23,000.70x = 283,257,070.61
  5. Step 5: Solve for x
    x = 283,257,070.61/23,000.70
  6. Step 6: Final answer
    x = 12,315.15

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Similar ratio
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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.