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Finding the Fourth Proportional to 7,255, 10,013.12 and 4,113.01

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Solution

The fourth proportional to 7,255, 10,013.12 and 4,113.01 is: 5,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255 : 10,013.12 = 4,113.01 : x
  2. Step 2: Convert to fraction form
    7,255/10,013.12 = 4,113.01/x
  3. Step 3: Cross multiply
    7,255x = 10,013.12 × 4,113.01
  4. Step 4: Simplify right side
    7,255x = 41,184,062.69
  5. Step 5: Solve for x
    x = 41,184,062.69/7,255
  6. Step 6: Final answer
    x = 5,676.65

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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.