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Finding the Fourth Proportional to 2,445, 3,374.13 and 1,397.16

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Solution

The fourth proportional to 2,445, 3,374.13 and 1,397.16 is: 1,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445 : 3,374.13 = 1,397.16 : x
  2. Step 2: Convert to fraction form
    2,445/3,374.13 = 1,397.16/x
  3. Step 3: Cross multiply
    2,445x = 3,374.13 × 1,397.16
  4. Step 4: Simplify right side
    2,445x = 4,714,199.47
  5. Step 5: Solve for x
    x = 4,714,199.47/2,445
  6. Step 6: Final answer
    x = 1,928.10

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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.