Home / 1,681.48-2,320.10-973.16

Finding the Fourth Proportional to 1,681.48, 2,320.10 and 973.16

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Solution

The fourth proportional to 1,681.48, 2,320.10 and 973.16 is: 1,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.48 : 2,320.10 = 973.16 : x
  2. Step 2: Convert to fraction form
    1,681.48/2,320.10 = 973.16/x
  3. Step 3: Cross multiply
    1,681.48x = 2,320.10 × 973.16
  4. Step 4: Simplify right side
    1,681.48x = 2,257,828.52
  5. Step 5: Solve for x
    x = 2,257,828.52/1,681.48
  6. Step 6: Final answer
    x = 1,342.76

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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.