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Finding the Fourth Proportional to 7,475, 10,316.49 and 4,830.10

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Solution

The fourth proportional to 7,475, 10,316.49 and 4,830.10 is: 6,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475 : 10,316.49 = 4,830.10 : x
  2. Step 2: Convert to fraction form
    7,475/10,316.49 = 4,830.10/x
  3. Step 3: Cross multiply
    7,475x = 10,316.49 × 4,830.10
  4. Step 4: Simplify right side
    7,475x = 49,829,678.35
  5. Step 5: Solve for x
    x = 49,829,678.35/7,475
  6. Step 6: Final answer
    x = 6,666.18

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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.