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Finding the Fourth Proportional to 2,345.36, 3,518.04 and 885.74

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Solution

The fourth proportional to 2,345.36, 3,518.04 and 885.74 is: 1,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.36 : 3,518.04 = 885.74 : x
  2. Step 2: Convert to fraction form
    2,345.36/3,518.04 = 885.74/x
  3. Step 3: Cross multiply
    2,345.36x = 3,518.04 × 885.74
  4. Step 4: Simplify right side
    2,345.36x = 3,116,068.75
  5. Step 5: Solve for x
    x = 3,116,068.75/2,345.36
  6. Step 6: Final answer
    x = 1,328.61

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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.