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Finding the Fourth Proportional to 7,225.47, 10,835.47 and 2,840.53

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Solution

The fourth proportional to 7,225.47, 10,835.47 and 2,840.53 is: 4,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.47 : 10,835.47 = 2,840.53 : x
  2. Step 2: Convert to fraction form
    7,225.47/10,835.47 = 2,840.53/x
  3. Step 3: Cross multiply
    7,225.47x = 10,835.47 × 2,840.53
  4. Step 4: Simplify right side
    7,225.47x = 30,778,477.60
  5. Step 5: Solve for x
    x = 30,778,477.60/7,225.47
  6. Step 6: Final answer
    x = 4,259.72

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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.