Home / 1,655.34-2,284.40-947.25

Finding the Fourth Proportional to 1,655.34, 2,284.40 and 947.25

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Solution

The fourth proportional to 1,655.34, 2,284.40 and 947.25 is: 1,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.34 : 2,284.40 = 947.25 : x
  2. Step 2: Convert to fraction form
    1,655.34/2,284.40 = 947.25/x
  3. Step 3: Cross multiply
    1,655.34x = 2,284.40 × 947.25
  4. Step 4: Simplify right side
    1,655.34x = 2,163,897.90
  5. Step 5: Solve for x
    x = 2,163,897.90/1,655.34
  6. Step 6: Final answer
    x = 1,307.22

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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.