Home / 1,646.02-2,271.25-947.26

Finding the Fourth Proportional to 1,646.02, 2,271.25 and 947.26

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Solution

The fourth proportional to 1,646.02, 2,271.25 and 947.26 is: 1,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.02 : 2,271.25 = 947.26 : x
  2. Step 2: Convert to fraction form
    1,646.02/2,271.25 = 947.26/x
  3. Step 3: Cross multiply
    1,646.02x = 2,271.25 × 947.26
  4. Step 4: Simplify right side
    1,646.02x = 2,151,464.28
  5. Step 5: Solve for x
    x = 2,151,464.28/1,646.02
  6. Step 6: Final answer
    x = 1,307.07

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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.