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Finding the Fourth Proportional to 1,421.47, 2,133.56 and 874.72

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Solution

The fourth proportional to 1,421.47, 2,133.56 and 874.72 is: 1,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.47 : 2,133.56 = 874.72 : x
  2. Step 2: Convert to fraction form
    1,421.47/2,133.56 = 874.72/x
  3. Step 3: Cross multiply
    1,421.47x = 2,133.56 × 874.72
  4. Step 4: Simplify right side
    1,421.47x = 1,866,267.60
  5. Step 5: Solve for x
    x = 1,866,267.60/1,421.47
  6. Step 6: Final answer
    x = 1,312.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.