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Finding the Fourth Proportional to 10,602.09, 15,890.76 and 7,802.87

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Solution

The fourth proportional to 10,602.09, 15,890.76 and 7,802.87 is: 11,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.09 : 15,890.76 = 7,802.87 : x
  2. Step 2: Convert to fraction form
    10,602.09/15,890.76 = 7,802.87/x
  3. Step 3: Cross multiply
    10,602.09x = 15,890.76 × 7,802.87
  4. Step 4: Simplify right side
    10,602.09x = 123,993,455.03
  5. Step 5: Solve for x
    x = 123,993,455.03/10,602.09
  6. Step 6: Final answer
    x = 11,695.19

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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.