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Finding the Fourth Proportional to 34,312.40, 51,468.60 and 9,688.40

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Solution

The fourth proportional to 34,312.40, 51,468.60 and 9,688.40 is: 14,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312.40 : 51,468.60 = 9,688.40 : x
  2. Step 2: Convert to fraction form
    34,312.40/51,468.60 = 9,688.40/x
  3. Step 3: Cross multiply
    34,312.40x = 51,468.60 × 9,688.40
  4. Step 4: Simplify right side
    34,312.40x = 498,648,384.24
  5. Step 5: Solve for x
    x = 498,648,384.24/34,312.40
  6. Step 6: Final answer
    x = 14,532.60

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