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Finding the Fourth Proportional to 10,012.57, 15,015.78 and 4,746.02

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Solution

The fourth proportional to 10,012.57, 15,015.78 and 4,746.02 is: 7,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.57 : 15,015.78 = 4,746.02 : x
  2. Step 2: Convert to fraction form
    10,012.57/15,015.78 = 4,746.02/x
  3. Step 3: Cross multiply
    10,012.57x = 15,015.78 × 4,746.02
  4. Step 4: Simplify right side
    10,012.57x = 71,265,285.02
  5. Step 5: Solve for x
    x = 71,265,285.02/10,012.57
  6. Step 6: Final answer
    x = 7,117.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.