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Finding the Fourth Proportional to 2,153.07, 2,970.54 and 1,407.87

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Solution

The fourth proportional to 2,153.07, 2,970.54 and 1,407.87 is: 1,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.07 : 2,970.54 = 1,407.87 : x
  2. Step 2: Convert to fraction form
    2,153.07/2,970.54 = 1,407.87/x
  3. Step 3: Cross multiply
    2,153.07x = 2,970.54 × 1,407.87
  4. Step 4: Simplify right side
    2,153.07x = 4,182,134.15
  5. Step 5: Solve for x
    x = 4,182,134.15/2,153.07
  6. Step 6: Final answer
    x = 1,942.41

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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.