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Finding the Fourth Proportional to 2,590.03, 3,886.53 and 946.36

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Solution

The fourth proportional to 2,590.03, 3,886.53 and 946.36 is: 1,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.03 : 3,886.53 = 946.36 : x
  2. Step 2: Convert to fraction form
    2,590.03/3,886.53 = 946.36/x
  3. Step 3: Cross multiply
    2,590.03x = 3,886.53 × 946.36
  4. Step 4: Simplify right side
    2,590.03x = 3,678,056.53
  5. Step 5: Solve for x
    x = 3,678,056.53/2,590.03
  6. Step 6: Final answer
    x = 1,420.08

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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.