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Finding the Fourth Proportional to 1,566.76, 2,160.45 and 977.14

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Solution

The fourth proportional to 1,566.76, 2,160.45 and 977.14 is: 1,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.76 : 2,160.45 = 977.14 : x
  2. Step 2: Convert to fraction form
    1,566.76/2,160.45 = 977.14/x
  3. Step 3: Cross multiply
    1,566.76x = 2,160.45 × 977.14
  4. Step 4: Simplify right side
    1,566.76x = 2,111,062.11
  5. Step 5: Solve for x
    x = 2,111,062.11/1,566.76
  6. Step 6: Final answer
    x = 1,347.41

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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.