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Finding the Fourth Proportional to 2,154.58, 2,970 and 1,490.30

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Solution

The fourth proportional to 2,154.58, 2,970 and 1,490.30 is: 2,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.58 : 2,970 = 1,490.30 : x
  2. Step 2: Convert to fraction form
    2,154.58/2,970 = 1,490.30/x
  3. Step 3: Cross multiply
    2,154.58x = 2,970 × 1,490.30
  4. Step 4: Simplify right side
    2,154.58x = 4,426,191
  5. Step 5: Solve for x
    x = 4,426,191/2,154.58
  6. Step 6: Final answer
    x = 2,054.32

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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.