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Finding the Fourth Proportional to 2,332.16, 3,495.84 and 870.40

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Solution

The fourth proportional to 2,332.16, 3,495.84 and 870.40 is: 1,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.16 : 3,495.84 = 870.40 : x
  2. Step 2: Convert to fraction form
    2,332.16/3,495.84 = 870.40/x
  3. Step 3: Cross multiply
    2,332.16x = 3,495.84 × 870.40
  4. Step 4: Simplify right side
    2,332.16x = 3,042,779.14
  5. Step 5: Solve for x
    x = 3,042,779.14/2,332.16
  6. Step 6: Final answer
    x = 1,304.70

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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.