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Finding the Fourth Proportional to 1,429.68, 1,973 and 840.16

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Solution

The fourth proportional to 1,429.68, 1,973 and 840.16 is: 1,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.68 : 1,973 = 840.16 : x
  2. Step 2: Convert to fraction form
    1,429.68/1,973 = 840.16/x
  3. Step 3: Cross multiply
    1,429.68x = 1,973 × 840.16
  4. Step 4: Simplify right side
    1,429.68x = 1,657,635.68
  5. Step 5: Solve for x
    x = 1,657,635.68/1,429.68
  6. Step 6: Final answer
    x = 1,159.45

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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.