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Finding the Fourth Proportional to 3,415, 4,712.70 and 2,017.76

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Solution

The fourth proportional to 3,415, 4,712.70 and 2,017.76 is: 2,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415 : 4,712.70 = 2,017.76 : x
  2. Step 2: Convert to fraction form
    3,415/4,712.70 = 2,017.76/x
  3. Step 3: Cross multiply
    3,415x = 4,712.70 × 2,017.76
  4. Step 4: Simplify right side
    3,415x = 9,509,097.55
  5. Step 5: Solve for x
    x = 9,509,097.55/3,415
  6. Step 6: Final answer
    x = 2,784.51

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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.