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Finding the Fourth Proportional to 5,225, 7,210.26 and 3,130.28

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Solution

The fourth proportional to 5,225, 7,210.26 and 3,130.28 is: 4,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225 : 7,210.26 = 3,130.28 : x
  2. Step 2: Convert to fraction form
    5,225/7,210.26 = 3,130.28/x
  3. Step 3: Cross multiply
    5,225x = 7,210.26 × 3,130.28
  4. Step 4: Simplify right side
    5,225x = 22,570,132.67
  5. Step 5: Solve for x
    x = 22,570,132.67/5,225
  6. Step 6: Final answer
    x = 4,319.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.