Home / 1,646.32-2,271.64-947.68

Finding the Fourth Proportional to 1,646.32, 2,271.64 and 947.68

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Solution

The fourth proportional to 1,646.32, 2,271.64 and 947.68 is: 1,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.32 : 2,271.64 = 947.68 : x
  2. Step 2: Convert to fraction form
    1,646.32/2,271.64 = 947.68/x
  3. Step 3: Cross multiply
    1,646.32x = 2,271.64 × 947.68
  4. Step 4: Simplify right side
    1,646.32x = 2,152,787.80
  5. Step 5: Solve for x
    x = 2,152,787.80/1,646.32
  6. Step 6: Final answer
    x = 1,307.64

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1.5x scale

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.