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Finding the Fourth Proportional to 9,915.64, 14,875.74 and 2,895.76

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Solution

The fourth proportional to 9,915.64, 14,875.74 and 2,895.76 is: 4,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.64 : 14,875.74 = 2,895.76 : x
  2. Step 2: Convert to fraction form
    9,915.64/14,875.74 = 2,895.76/x
  3. Step 3: Cross multiply
    9,915.64x = 14,875.74 × 2,895.76
  4. Step 4: Simplify right side
    9,915.64x = 43,076,572.86
  5. Step 5: Solve for x
    x = 43,076,572.86/9,915.64
  6. Step 6: Final answer
    x = 4,344.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.