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Finding the Fourth Proportional to 10,602.56, 15,918.24 and 7,307.48

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Solution

The fourth proportional to 10,602.56, 15,918.24 and 7,307.48 is: 10,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.56 : 15,918.24 = 7,307.48 : x
  2. Step 2: Convert to fraction form
    10,602.56/15,918.24 = 7,307.48/x
  3. Step 3: Cross multiply
    10,602.56x = 15,918.24 × 7,307.48
  4. Step 4: Simplify right side
    10,602.56x = 116,322,220.44
  5. Step 5: Solve for x
    x = 116,322,220.44/10,602.56
  6. Step 6: Final answer
    x = 10,971.14

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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.