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Finding the Fourth Proportional to 2,430.26, 3,646.18 and 870.24

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Solution

The fourth proportional to 2,430.26, 3,646.18 and 870.24 is: 1,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.26 : 3,646.18 = 870.24 : x
  2. Step 2: Convert to fraction form
    2,430.26/3,646.18 = 870.24/x
  3. Step 3: Cross multiply
    2,430.26x = 3,646.18 × 870.24
  4. Step 4: Simplify right side
    2,430.26x = 3,173,051.68
  5. Step 5: Solve for x
    x = 3,173,051.68/2,430.26
  6. Step 6: Final answer
    x = 1,305.64

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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.