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Finding the Fourth Proportional to 34,140, 51,210.56 and 9,516

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Solution

The fourth proportional to 34,140, 51,210.56 and 9,516 is: 14,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,140 : 51,210.56 = 9,516 : x
  2. Step 2: Convert to fraction form
    34,140/51,210.56 = 9,516/x
  3. Step 3: Cross multiply
    34,140x = 51,210.56 × 9,516
  4. Step 4: Simplify right side
    34,140x = 487,319,688.96
  5. Step 5: Solve for x
    x = 487,319,688.96/34,140
  6. Step 6: Final answer
    x = 14,274.16

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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.