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Finding the Fourth Proportional to 32,499, 48,748.50 and 7,875

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Solution

The fourth proportional to 32,499, 48,748.50 and 7,875 is: 11,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,499 : 48,748.50 = 7,875 : x
  2. Step 2: Convert to fraction form
    32,499/48,748.50 = 7,875/x
  3. Step 3: Cross multiply
    32,499x = 48,748.50 × 7,875
  4. Step 4: Simplify right side
    32,499x = 383,894,437.50
  5. Step 5: Solve for x
    x = 383,894,437.50/32,499
  6. Step 6: Final answer
    x = 11,812.50

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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.