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Finding the Fourth Proportional to 1,430, 1,972.86 and 840.32

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Solution

The fourth proportional to 1,430, 1,972.86 and 840.32 is: 1,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430 : 1,972.86 = 840.32 : x
  2. Step 2: Convert to fraction form
    1,430/1,972.86 = 840.32/x
  3. Step 3: Cross multiply
    1,430x = 1,972.86 × 840.32
  4. Step 4: Simplify right side
    1,430x = 1,657,833.72
  5. Step 5: Solve for x
    x = 1,657,833.72/1,430
  6. Step 6: Final answer
    x = 1,159.32

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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.