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Finding the Fourth Proportional to 1,564.65, 2,160 and 1,209.77

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Solution

The fourth proportional to 1,564.65, 2,160 and 1,209.77 is: 1,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.65 : 2,160 = 1,209.77 : x
  2. Step 2: Convert to fraction form
    1,564.65/2,160 = 1,209.77/x
  3. Step 3: Cross multiply
    1,564.65x = 2,160 × 1,209.77
  4. Step 4: Simplify right side
    1,564.65x = 2,613,100.50
  5. Step 5: Solve for x
    x = 2,613,100.50/1,564.65
  6. Step 6: Final answer
    x = 1,670.09

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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.