Home / 1,646.25-2,272.10-947.49

Finding the Fourth Proportional to 1,646.25, 2,272.10 and 947.49

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Solution

The fourth proportional to 1,646.25, 2,272.10 and 947.49 is: 1,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.25 : 2,272.10 = 947.49 : x
  2. Step 2: Convert to fraction form
    1,646.25/2,272.10 = 947.49/x
  3. Step 3: Cross multiply
    1,646.25x = 2,272.10 × 947.49
  4. Step 4: Simplify right side
    1,646.25x = 2,152,792.03
  5. Step 5: Solve for x
    x = 2,152,792.03/1,646.25
  6. Step 6: Final answer
    x = 1,307.69

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Half scale
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Double scale
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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.