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Finding the Fourth Proportional to 2,113.58, 2,913.63 and 1,719.92

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Solution

The fourth proportional to 2,113.58, 2,913.63 and 1,719.92 is: 2,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.58 : 2,913.63 = 1,719.92 : x
  2. Step 2: Convert to fraction form
    2,113.58/2,913.63 = 1,719.92/x
  3. Step 3: Cross multiply
    2,113.58x = 2,913.63 × 1,719.92
  4. Step 4: Simplify right side
    2,113.58x = 5,011,210.51
  5. Step 5: Solve for x
    x = 5,011,210.51/2,113.58
  6. Step 6: Final answer
    x = 2,370.96

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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.