Home / 1,646.34-2,271.87-947.76

Finding the Fourth Proportional to 1,646.34, 2,271.87 and 947.76

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Solution

The fourth proportional to 1,646.34, 2,271.87 and 947.76 is: 1,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.34 : 2,271.87 = 947.76 : x
  2. Step 2: Convert to fraction form
    1,646.34/2,271.87 = 947.76/x
  3. Step 3: Cross multiply
    1,646.34x = 2,271.87 × 947.76
  4. Step 4: Simplify right side
    1,646.34x = 2,153,187.51
  5. Step 5: Solve for x
    x = 2,153,187.51/1,646.34
  6. Step 6: Final answer
    x = 1,307.86

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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.