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Finding the Fourth Proportional to 10,045.60, 15,064.80 and 5,113.60

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Solution

The fourth proportional to 10,045.60, 15,064.80 and 5,113.60 is: 7,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.60 : 15,064.80 = 5,113.60 : x
  2. Step 2: Convert to fraction form
    10,045.60/15,064.80 = 5,113.60/x
  3. Step 3: Cross multiply
    10,045.60x = 15,064.80 × 5,113.60
  4. Step 4: Simplify right side
    10,045.60x = 77,035,361.28
  5. Step 5: Solve for x
    x = 77,035,361.28/10,045.60
  6. Step 6: Final answer
    x = 7,668.57

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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.