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Finding the Fourth Proportional to 2,423.65, 3,345.17 and 1,858

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Solution

The fourth proportional to 2,423.65, 3,345.17 and 1,858 is: 2,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.65 : 3,345.17 = 1,858 : x
  2. Step 2: Convert to fraction form
    2,423.65/3,345.17 = 1,858/x
  3. Step 3: Cross multiply
    2,423.65x = 3,345.17 × 1,858
  4. Step 4: Simplify right side
    2,423.65x = 6,215,325.86
  5. Step 5: Solve for x
    x = 6,215,325.86/2,423.65
  6. Step 6: Final answer
    x = 2,564.45

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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.