Home / 2,102.16-3,152.40-715.20

Finding the Fourth Proportional to 2,102.16, 3,152.40 and 715.20

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Solution

The fourth proportional to 2,102.16, 3,152.40 and 715.20 is: 1,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.16 : 3,152.40 = 715.20 : x
  2. Step 2: Convert to fraction form
    2,102.16/3,152.40 = 715.20/x
  3. Step 3: Cross multiply
    2,102.16x = 3,152.40 × 715.20
  4. Step 4: Simplify right side
    2,102.16x = 2,254,596.48
  5. Step 5: Solve for x
    x = 2,254,596.48/2,102.16
  6. Step 6: Final answer
    x = 1,072.51

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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.