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Finding the Fourth Proportional to 10,615.60, 14,650 and 5,900.32

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Solution

The fourth proportional to 10,615.60, 14,650 and 5,900.32 is: 8,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.60 : 14,650 = 5,900.32 : x
  2. Step 2: Convert to fraction form
    10,615.60/14,650 = 5,900.32/x
  3. Step 3: Cross multiply
    10,615.60x = 14,650 × 5,900.32
  4. Step 4: Simplify right side
    10,615.60x = 86,439,688
  5. Step 5: Solve for x
    x = 86,439,688/10,615.60
  6. Step 6: Final answer
    x = 8,142.70

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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.