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Finding the Fourth Proportional to 7,807.47, 11,705.71 and 2,876.46

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Solution

The fourth proportional to 7,807.47, 11,705.71 and 2,876.46 is: 4,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.47 : 11,705.71 = 2,876.46 : x
  2. Step 2: Convert to fraction form
    7,807.47/11,705.71 = 2,876.46/x
  3. Step 3: Cross multiply
    7,807.47x = 11,705.71 × 2,876.46
  4. Step 4: Simplify right side
    7,807.47x = 33,671,006.59
  5. Step 5: Solve for x
    x = 33,671,006.59/7,807.47
  6. Step 6: Final answer
    x = 4,312.67

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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.