Home / 1,646.51-2,271.78-947.88

Finding the Fourth Proportional to 1,646.51, 2,271.78 and 947.88

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Solution

The fourth proportional to 1,646.51, 2,271.78 and 947.88 is: 1,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.51 : 2,271.78 = 947.88 : x
  2. Step 2: Convert to fraction form
    1,646.51/2,271.78 = 947.88/x
  3. Step 3: Cross multiply
    1,646.51x = 2,271.78 × 947.88
  4. Step 4: Simplify right side
    1,646.51x = 2,153,374.83
  5. Step 5: Solve for x
    x = 2,153,374.83/1,646.51
  6. Step 6: Final answer
    x = 1,307.85

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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.