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Finding the Fourth Proportional to 7,971, 10,999.98 and 4,659.64

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Solution

The fourth proportional to 7,971, 10,999.98 and 4,659.64 is: 6,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 10,999.98 = 4,659.64 : x
  2. Step 2: Convert to fraction form
    7,971/10,999.98 = 4,659.64/x
  3. Step 3: Cross multiply
    7,971x = 10,999.98 × 4,659.64
  4. Step 4: Simplify right side
    7,971x = 51,255,946.81
  5. Step 5: Solve for x
    x = 51,255,946.81/7,971
  6. Step 6: Final answer
    x = 6,430.30

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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.