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Finding the Fourth Proportional to 47,643.90, 65,752.62 and 26,430

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Solution

The fourth proportional to 47,643.90, 65,752.62 and 26,430 is: 36,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.90 : 65,752.62 = 26,430 : x
  2. Step 2: Convert to fraction form
    47,643.90/65,752.62 = 26,430/x
  3. Step 3: Cross multiply
    47,643.90x = 65,752.62 × 26,430
  4. Step 4: Simplify right side
    47,643.90x = 1,737,841,746.60
  5. Step 5: Solve for x
    x = 1,737,841,746.60/47,643.90
  6. Step 6: Final answer
    x = 36,475.64

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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.